2013 CMS Summer Meeting

Dalhousie University, June 4 - 7, 2013

By invitation of the Meeting Committee, there will be sessions in the following areas. The list of speakers is preliminary, and participants interested in delivering a talk in one of the sessions should contact one of the organizers of that session. All Scientific sessions will take place at the Marion McCain Arts & Social Sciences Building at Dalhousie Univeristy Click Here for a Map

- Analysis, Geometry and Topology on Fractals, Wavelets and Self-Similar Tilings
- Combinatorial Game Theory
- Commutative Algebra and Combinatorics
- Contributed Papers
- Discrete and Combinatorial Geometry
- Ergodic Theory, Dynamical Systems and Applications
- Experimental Methods in Number Theory
- Hopf Algebras and Tensor Categories
- Nonlinear Partial Differential Equations and their Applications
- Nonlocal Interactions in Social, Physical, and Biological Sciences
- Progress in Higher Categories
- Pseudogroups and their Applications
- Selected Topics in Biomathematics: Applications to Ecology and Aging
- The Functional Analytic and Representation Theoretic Foundations of Wavelet Theory

Analysis, Geometry and Topology on Fractals, Wavelets and Self-Similar Tilings | |

Org: Eva Curry (Acadia), Franklin Mendivil (Acadia) and Tara Taylor (StFX) | |

Fractals, in the broad sense, study scaling and similarity properties. The session aims to be fairly broad to include researchers interested in fractals, wavelets or tilings from different perspectives. We also particularly encourage the participation of graduate students. We felt that it was time to have such a session because there hasn't been one in recent memory, and because there is a group of researchers in the Maritimes who are interested in these topics. | |

Wednesday June 5 (Room 2184 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Kathryn Hare (Waterloo), Multifractal analysis of self-similar measures with overlap |

10:30 - 11:00 | Joe Chen (Cornell), Recent progress on Gaussian free fields on fractals |

11:00 - 11:30 | Robert G. Niemeyer (Univesity of New Mexico), Dense orbits, periodic orbits and nontrivial paths of fractal billiard tables |

16:15 - 16:45 | Chun-Kit Lai (McMaster), Classification of self-affine tile digit sets as product-forms |

16:45 - 17:15 | Eva Curry (Acadia University), Poisson Boundary and Low-Pass Filters |

Thursday June 6 (Room 2184 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Tara Taylor (St. Francis Xavier University), Totally Disconnected Sierpinski Relatives |

9:00 - 9:30 | Ben Steinhurst (Cornell), Bond Percolation on the hexacarpet and related fractals |

9:30 - 10:00 | Franklin Mendivil (Acadia University), Geometry of a fractal curtain -- stacking Cantor sets |

14:00 - 14:30 | Dylan Day (Acadia) |

14:30 - 15:00 | Jozsef Vass (Waterloo), Fractal Geometry via Containment, and the Exact Convex Hull of C-Type IFS Fractals |

16:15 - 16:45 | Joshua MacArthur (Dalhousie), Wavelets with Crystal Symmetry Shifts |

Combinatorial Game Theory | |

Org: Richard Nowakowski and Paul Ottaway (Dalhousie) | |

The session will cover all aspects of 2-player, perfect information games. | |

Wednesday June 5 (Room 2118 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Richard J. Nowakowski (Dalhousie University), Game Profiles |

10:30 - 11:00 | Alex Fink (MSRI), Lim: an impartial game elucidated by a coordinate change |

11:00 - 11:30 | Gabriel Renault (Univ. Bordeaux, LaBRI), Dicots, and a taxonomic ranking for misère games |

14:00 - 14:30 | Fraser Stewart (Xi'An Jiaotang University), Scoring Play Combinatorial Games |

14:30 - 15:00 | Ashvin Swaminathan (The Harker School), Surreal Analysis: An Analogue of Real Analysis for Surreal Numbers |

16:15 - 16:45 | Mike Weimerskirch (University of Minnesota), Why David Gale’s ‘Nim with Pass’ is difficult to solve |

16:45 - 17:15 | Urban Larsson (Chalmers University of Technology University of Gothenburg), A Doubling game avoiding three term arithmetic progressions |

Commutative Algebra and Combinatorics | |

Org: Jennifer Bierman (Lakehead), Sara Faridi (Dalhousie), Andrew Hoefel (Queens) and Adam Van Tuyl (Lakehead) | |

The last decade has seen much activity in commutative algebra using tools from combinatorics. The goal of our proposed session is to bring together mathematicians who use such tools, but from different perspectives. Our hope is that our session will lead to an exchange of ideas and to new collaborations. We plan to invite 20 speakers. A number of slots will be devoted to talks graduate students near completion of their degrees and post-docs. | |

Wednesday June 5 (Room 2132 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Brian Harbourne (University of Nebraska-Lincoln), Advances on Recent Containment Counterexamples |

10:30 - 11:00 | Susan Cooper (Central Michigan University), Symbolic Powers of Monomial Ideals |

11:00 - 11:30 | Massimo Caboara (University di Pisa), Reducing the size and number of linear programs in a dynamic Groebner basis algorithm. |

14:00 - 14:30 | Louiza Fouli (New Mexico State University), Lower Bounds for the depth of powers of edge ideals of graphs |

14:30 - 15:00 | Ali Alilooee (Dalhousie University), When is a Square-Free Monomial Ideal of Linear Type ? |

16:15 - 16:45 | Jeff Mermin (Oklahoma State University), An unsatisfying bijection |

16:45 - 17:15 | Elena Guardo (Universit di Catania), Star configuration on generic hypersurfaces |

17:15 - 17:45 | Russ Woodroofe (Mississippi State University), An absence of leaves in regularity |

Thursday June 6 (Room 2132 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Uwe Nagel (University of Kentucky), On the Weak Lefschetz Property for Artinian Gorenstein algebras |

9:00 - 9:30 | David Wehlau (RMC & Queen's University), Horn's Conjecture, The Littlewood-Richardson Cone and Permutations |

9:30 - 10:00 | Sonja Petrovic (Penn State), Toric algebra of hypergraphs |

14:00 - 14:30 | Augustine O'Keefe (University of Kentucky), Cellular resolutions of some monomial ideals |

14:30 - 15:00 | Stephen Sturgeon (University of Kentucky), Cellular Resolution of the n-gon |

16:15 - 16:45 | Antonio Macchia (Universit degli Studi di Bari "Aldo Moro"), The Arithmetical Rank of the Edge Ideals of Graphs with Whiskers |

16:45 - 17:15 | Piotr Jedrzejewicz (Nicolaus Copernicus University), A homogeneous generalization of a theorem of Ganong and Daigle |

17:15 - 17:45 | Jack Jeffries (University of Utah), The j-Multiplicity of Monomial Ideals |

Friday June 7 (Room 2132 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Juergen Herzog (Universitaet Duisburg-Essen), On the subadditivity problem for maximal shifts in free resolutions |

9:00 - 9:30 | Emma Connon (Dalhousie University), When do monomial ideals have linear resolutions? |

9:30 - 10:00 | Giulio Caviglia (Purdue University), Betti tables of p-Borel-fixed ideals |

Contributed Papers | |

Org: Robert Dawson (Saint Mary's), Sanjiv Gupta (Sultan Qaboos University) and Toby Kenney (Dalhousie University) | |

Friday June 7 (Room 2190) | |

8:00 - 8:30 | Sophie Burrill (Simon Fraser University), On the use of generating trees in a variety of combinatorial classes |

8:30 - 9:00 | Toktam Dinevari (University of Montreal), Fixed point results for multivalued G-contractions |

9:00 - 9:30 | Daryl Funk (Simon Fraser University), The 2-separated excluded minors for the class of bias matroids |

9:30 - 10:00 | Sanjiv Kumar Gupta (Sultan Qaboos University), Transference of Multipliers on Lie Groups |

14:00 - 14:30 | Maryam Lotfipour (University of Isfahan), Nonempty intersection theorems via KKM theory |

14:30 - 15:00 | Kerry Ojakian (Bronx Community College (CUNY)), Cops and Robber on the Hypercube |

Discrete and Combinatorial Geometry | |

Org: Ted Bisztriczky (Calgary) and Wendy Finbow-Singh (SMU) | |

A session dedicated to assessing recent advances in these areas. The focus is the interchanging of ideas among experts in the fields of Discrete, Convex and Combinatorial Geometry. | |

Wednesday June 5 (Room 2190 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Jim Lawrence (George Mason University), Some polytopes with vertex-transitive symmetry |

10:30 - 11:00 | Csaba Toth (UCalgary, CSUN, and Tufts University), On the total perimeter of convex bodies in a container |

11:00 - 11:30 | Robert Dawson (Saint Mary's University), Monotone Spreads and Chebyshev Sets in Hyperspaces |

14:00 - 14:30 | Valeriu Soltan (George Mason University), Convex hypersurfaces with plane quadric sections |

14:30 - 15:00 | Robert Erdahl (Queens) |

16:15 - 16:45 | Wendy Finbow-Singh (Saint Mary's University), Modified Spheres |

16:45 - 17:15 | Michael Mossinghoff (Davidson College), Sporadic Reinhardt polygons |

Thursday June 6 (Room 2190 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Barry Monson (University of New Brunswick), Finite Polytopes have Finite Regular Covers |

9:00 - 9:30 | Gordon Williams (University of Alaska), Monodromy Groups of Belt Polyhedra |

9:30 - 10:00 | Asia Ivić Weiss (York University), Polytopes derived from cubic tessellations |

14:00 - 14:30 | Patricia Ribeiro (EST Setubal), Towards the Standard Spherical Tiling |

14:30 - 15:00 | Deping Ye (Memorial University), On the monotone properties of general affine surfaces under the Steiner symmetrization |

16:15 - 16:45 | Deborah Oliveros (Universidad Nacional Autónoma de México), Colourful and fractional (p,q)-theorems. |

16:45 - 17:15 | Leah Berman (University of Alaska), Movable 4-Configurations are Plentiful |

Ergodic Theory, Dynamical Systems and Applications | |

Org: Pawel Gora (Concordia) and Shafiqul Islam (UPEI) | |

The main focus of this session is to bring researchers in Ergodic theory, dynamical systems, applications and related areas together and discuss the recent developments and open problems in these areas. Talks should be on topics related to Ergodic theory, Dynamical systems and Applications. | |

Wednesday June 5 (Room 2176 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Elena Braverman (University of Calgary), On stochastic perturbations of chaotic dynamical systems: is stabilization possible? |

10:30 - 11:00 | Carl Dettmann (Bristol, UK), Escape and diffusion through small holes |

11:00 - 11:30 | Wayne Nagata (UBC), Wave train selection behind predator invasions in a population model with nonlocal prey competition |

14:00 - 14:30 | Erik M. Bollt (Clarkson University, USA), Finite Time Coherent Sets with Nonhyperbolic Boundaries |

14:30 - 15:00 | Makoto Mori (Nihon University, Japan), On the Spectrum of Perron-Frobenious Operators on Continuous Functions |

16:15 - 16:45 | Pawel Gora (Concordia), Consecutive maxima maps |

16:45 - 17:15 | Tufail Malik (Manitoba), The Impact of a Vaccine and Pap Screening on the Human Papillomavirus Transmission and Cervical Cancer |

Thursday June 6 (Room 2176 McCain Building, Dalhousie University) | |

8:00 - 8:30 | Kamran Kaveh (Waterloo), Population dynamics of cancer stem cell |

8:30 - 9:00 | Junling Ma (University of Victoria), Vaccination on random contact networks |

9:00 - 9:30 | Tomoki Inoue (Ehime University, Japan), Invariant measures for random maps with continuous random parameters |

9:30 - 10:00 | Marlene Frigon (UdeM), Boundary value problems for systems of second order equations on times scales. |

14:00 - 14:30 | Zhenyang Li (Concordia), W-shaped maps and slope condition for stability of acim |

14:30 - 15:00 | Christopher J. Bose (University of Victoria), Asymptotics for random intermittent maps |

16:15 - 16:45 | Tomasz Szarek (University of Gdansk, Poland), Stability of Random Dynamical Systems |

16:45 - 17:15 | Mudassar Imran (Lums, Lahore), Optimal Dosing Strategies against Susceptible and Resistant Bacteria |

17:15 - 17:45 | Brian Ingalls (Waterloo), Sensitivity Trade-offs in Systems Biology |

Friday June 7 (Room 2176 McCain Building, Dalhousie University) | |

8:00 - 8:30 | Geoff Wild (Waterloo), Evolutionary Dynamics and Helping a Neighbour |

8:30 - 9:00 | Israel Ncube (Memorial), Stability switching and Hopf bifurcation in a multiple-delayed neural network |

Experimental Methods in Number Theory | |

Org: Karl Dilcher (Dalhousie), Michael Jacobson (Calgary) and Renate Scheidler (Calgary) | |

Numerical experiments and computations play a crucial role in
algorithmic and computational number theory and represent the focus of
this proposed session. They can provide evidence in support of (or
against) unproven conjectures or heuristics, spawn the formulation of
new hypotheses, and generate useful data on the behaviour of certain
mathematical objects. Computations have led to valuable insights into
such grand number theoretic challenges as the the Riemann hypothesis,
the Birch--Swinnerton-Dyer conjecture, the 3x+1 problem, Gauss' class
number one problem, and others. Moreover, they represent an essential
ingredient in number theoretic applications arising, for example, in
cryptography, coding theory, and combinatorial games.
Techniques and computational methods specific to one number theoretic discipline can have potential, and sometimes unexpected uses in a different subarea. For example, computational methods involving certain modular forms arising in analytic number theory have found their way into algorithms for verifying class numbers of quadratic fields. This session intends to bring together researchers in algebraic, analytic, combinatorial, and elementary number theory with a shared interest in experimental computations for the purpose of knowledge dissemination and exchange of ideas. | |

Thursday June 6 (Room 2162 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Jean-Francois Biasse (Calgary), Sieving methods for ideal class group and unit group computation |

9:00 - 9:30 | John Jones (Arizona State University), The tame-wild principle |

9:30 - 10:00 | Edlyn Teske (Waterloo), Solving the ECDLP using Semaev Polynomials, Weil Descent, and Groebner basis methods -- an experimental study |

14:00 - 14:30 | David Krumm (University of Georgia), Quadratic points on dynamical modular curves |

14:30 - 15:00 | Tatiana Hessami Pilehrood (Dalhousie University), Modulo $p$ structures of multiple harmonic sums. |

16:15 - 16:45 | Michael Filaseta (University of South Carolina), Problems connected to the factorization of $f(x) x^{n} + g(x)$ |

16:45 - 17:15 | Daniel Fiorilli (University of Michigan), Dirichlet L-functions at the central point |

Friday June 7 (Room 2162 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Kevin Hare (Waterloo), Representation of integers base $d$ with digits $0, 1, \cdots, q-1$ |

9:00 - 9:30 | Jonathan Sorenson (Butler University), Approximately Counting Semismooth Integers |

9:30 - 10:00 | Michael Rubinstein (Waterloo), Elliptic curves with positive rank and the Riemann zeta function |

14:00 - 14:30 | Joshua Holden (Rose Hulman Institute of Technology), Counting solutions to exponential congruences using p-adic methods |

14:30 - 15:00 | Andrew Shallue (Illinois Wesleyan University), Constructing a 10 billion factor Carmichael number |

15:00 - 15:30 | Michael Mossinghoff (Davidson College), Barker sequences, Wieferich pairs, and Compute Canada |

15:30 - 16:00 | Hugh Williams (Calgary), Linear Divisibility Sequences of Order Six |

Hopf Algebras and Tensor Categories | |

Org: Yuri Bahturin (Memorial), Margaret Beattie (Mount Allison University), Mitja Mastnak (SMU) and Bob Pare (Dalhousie) | |

Talks should be on topics related to Hopf algebras and/or tensor categories | |

Wednesday June 5 (Room 2116 McCain Building, Dalhousie University) | |

10:30 - 11:00 | Yuri Bahturin (Memorial), Group Gradings on Nilpotent Lie Algebras |

11:00 - 11:30 | Juan Cuadra (U Almeria), New examples of Hopf algebras with nonzero integral |

14:00 - 14:30 | Susan Montgomery (University of Southern California), Brauer characters for representations of bismash products |

14:30 - 15:00 | Allen Herman (Regina), Brauer-Clifford groups for Hopf Algebra actions and coactions |

16:15 - 16:45 | Aaron Lauve (Loyola University), Convolution Powers of the Identity in Graded Connected Hopf Algebras |

16:45 - 17:15 | Yevgenia Kashina (DePaul University), Semisimple Hopf Algebras of dimension 32 |

Thursday June 6 (Room 2116 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Mikhail Kotchetov (Memorial), Graded modules over simple Lie algebras with a group grading |

9:00 - 9:30 | Len Krop (DePaul University), Isomorphism classes in a class of Abelian extensions |

9:30 - 10:00 | Sara Madariaga (University of Saskatchewan), Special identities for the pre-Jordan product in the free dendriform algebra |

14:00 - 14:30 | Akira Masuoka (Tsukuba University), Hopf algebraic techniques applied to affine algebraic supergroups |

14:30 - 15:00 | Gaston Garcia (Universidad Nacionald de la Plata, Argentina), Pointed Hopf algebras over finite simple groups of Lie type |

16:15 - 16:45 | Hamid Usefi (Memorial), The interplay between group algebras and enveloping algebras |

16:45 - 17:15 | Siu-Hung Ng (Cornell and Iowa State), Cauchy's Theorem for Spherical Fusion Categories |

17:15 - 17:45 | Yorck Sommerhauser (University of South Alabama), Semilinear Actions of General Linear Groups on Character Rings of Hopf Algebras |

Friday June 7 (Room 2116 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Peter Schauenburg (U. Bourgogne), Weak Hopf Algebras Associated to Tambara-Yamagami Categories |

9:00 - 9:30 | Yinhuo Zhang (U Hasselt), Green rings of rank one pointed Hopf algebras of nilpotent type |

9:30 - 10:00 | Miodrag Iovanov (University of Iowa), On co-Frobenius Hopf algebras and coalgebras |

Nonlinear Partial Differential Equations and their Applications | |

Org: George Chen and Scott Rodney (Cape Breton) | |

This session is devoted to the recent developments in all nonlinear partial differential equations and their applications, including degenerate problems, traveling waves, blowup problems, regularity of weak solutions, and properties of Sobolev spaces. | |

Wednesday June 5 (Room 2021 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Andrès Contreras (McMaster), Stable Vortex States in Superconductivity |

11:00 - 11:30 | Bernardo Galvao-Sousa (Toronto), Accelerating Fronts in Semilinear Wave Equations |

14:00 - 14:30 | Lia Bronsard (McMaster), Singular Limits for Thin Film Superconductors in Strong Magnetic Fields |

14:30 - 15:00 | Ming Mei (McGill), Stability of non-monotone traveling waves for Nicholson's blowflies equations |

16:15 - 16:45 | Runzhang Xu (Harbin Engineering University, China), Global well-posedness for nonlinear Schrodinger equation with combined power type nonlinearities for positive initial energy |

16:45 - 17:15 | Brendan Pass (Alberta), Multi-marginal optimal transport on a Riemannian manifold |

Thursday June 6 (Room 2021 McCain Building, Dalhousie University) | |

8:00 - 8:30 | Scott Rodney (Cape Breton, Sydney), A Harnack Inequality for a Class of Second Order Degenerate Quasi-Linear Equations |

8:30 - 9:00 | Lyudmila Korobenko (Calgary), Hypoellipticity of Infinitely Degenerate Second Order Quasilinear Operators |

9:00 - 9:30 | Kabe Moen (Alabama, USA), Regularity of solutions to degenerate p-Laplacian equations |

9:30 - 10:00 | Eric Sawyer (McMaster), Two weight norm inequalities for singular integrals in higher dimension |

14:00 - 14:30 | Adam Oberman (Simon Fraser, Burnaby), Convergent finite difference solvers for the Monge-Ampère equation with Optimal Transportation boundary conditions |

14:30 - 15:00 | Galia Dafni (Concordia), Local Hardy spaces and applications |

16:15 - 16:45 | Dario Monticelli (Università degli Studi di Milano), Sign-changing solutions of the critical equation for the sublaplacian on the Heisenberg group |

16:45 - 17:15 | Stephen Anco (Brock), Symmetry analysis and exact solutions of nonlinear wave equations |

Friday June 7 (Room 2021 McCain Building, Dalhousie University) | |

8:00 - 8:30 | Shaohua George Chen (Cape Breton, Sydney), Global and Blowup Solutions for Quasilinear Parabolic Equations Not in Divergence Form |

8:30 - 9:00 | Shibing Chen (Toronto), Ancient solution to the generalized curve shortening flow |

9:00 - 9:30 | Dung Le (University of Texas), On the Regular Set of BMO Weak Solutions to $p$-Laplacian Strongly Coupled Nonregular Parabolic Systems |

9:30 - 10:00 | Sarah Raynor (Wake Forest University, Winston-Salem, USA), A New Approach to Soliton Stability for the KdV Equation |

Nonlocal Interactions in Social, Physical, and Biological Sciences | |

Org: Theodore Kolokolnikov (Dalhouise) and Michael Ward (UBC) | |

Models that involve nonlocal interactions are prevalent in the scientific literature. Some examples include anamolous diffusion of nutrients inside a cell; interactions within a biological swarm; ecological dispersal and transport in porous media. Attempts to model these phenomena mathematically typically lead to to integro-differential equations such as fractional diffusion. These models pose tough challenging mathematical questions that push the boundaries of established mathematical theories. This mini-session will bring together practitioners who study nonlocal models either from mathematical or modelling perspective. | |

Wednesday June 5 (Room 2130 McCain Building, Dalhousie University) | |

10:00 - 10:30 | Jonathan Sherratt (Hariott Watt University), A Nonlocal Model for Cancer Invasion |

10:30 - 11:00 | Xiaofeng Ren (George Washington University), A double bubble solution in a ternary system with inhibitory long range interaction |

11:00 - 11:30 | Tum Chaturapruek (Harvey Mudd College), Crime Modeling with L\'evy Flights |

14:00 - 14:30 | Alan Lindsay (Hariott Watt University), The Stability and Evolution of Curved Domain Arising From One Dimensional Localized Patterns |

14:30 - 15:00 | Chris Levy (Dalhousie), Dynamics and Stability of a 3D Model of Cell Signal Transduction with Delay |

16:15 - 16:45 | David Iron (Dalhousie), Lattice patterns in the periodic Gierer-Meinhardt system |

16:45 - 17:15 | Ryan Lukeman (St. Francis Xavier), Transition Dynamics in Collective Animal Motion |

Thursday June 6 (Room 2130 McCain Building, Dalhousie University) | |

14:00 - 14:30 | Alan Mackey (UCLA), Two-species Particle Aggregation and Co-dimension One Solutions |

14:30 - 15:00 | Yanghong Huang (Imperial College), Self-propelled particles with quasi-Morse potential |

16:15 - 16:45 | W Abou Salem (University of Saskatchewan), Semi-Relativistic Schroedinger-Poisson System of Equations with Long-Range Interactions |

16:45 - 17:15 | Yuxin Chen (Dalhousie), Equilibrium solutions to an aggregation model subject to exogenous and Newtonian endogenous forces in 2D |

17:15 - 17:45 | Theodore Kolokolnikov (Dalhousie), Vortex swarms |

Progress in Higher Categories | |

Org: Peter LeFanu Lumsdaine and Michael Shulman (IAS) | |

Not too long ago, the field of higher categories consisted largely of a number of proposed definitions, with little in the way of comparisons and applications. The last few years have seen an explosion of progress, including yet more definitions, an appreciation of the importance of (infinity,n)-categories, many explicit comparisons, characterization theorems, a range of applications, and the proofs of some fundamental conjectures. The goal of this session is to bring together people working on higher categories from different perspectives, including category theory, algebraic topology, and algebraic geometry, to take stock of the state of the field and its prospects as it begins to mature. | |

Wednesday June 5 (Room 2016 McCain Building, Dalhousie University) | |

10:00 - 11:00 | Emily Riehl (Harvard), The formal category theory of quasi-categories |

11:00 - 11:30 | Guillaume Brunerie (IAS), An elementary definition of globular weak $\infty$-groupoids |

14:00 - 15:00 | André Joyal (UQAM), Categorical Aspects of Homotopy Type Theory |

16:15 - 16:45 | Dimitri Ara (Raboud University of Nijmegen), On higher quasi-categories |

16:45 - 17:15 | Moritz Groth (Radboud University of Nijmegen), Additive $\infty$-categories and canonical monoidal structures I |

Thursday June 6 (Room 2016 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Mark Weber (Macquarie), Weak n-categories with strict units via iterated enrichment |

9:00 - 10:00 | Nick Gurski (Sheffield), Semi-strictness via factorization |

14:00 - 14:30 | Bob Paré (Dalhousie), The "Triple Category" of Bicategories |

14:30 - 15:00 | Dorette Pronk (Dalhousie), Weakly globular double categories |

16:15 - 16:45 | Daniel Schäppi (University of Chicago), Two-dimensional Morita theory and Galois cohomology |

17:15 - 17:45 | Claudio Hermida (Queens), Representable n-Multicategories |

Friday June 7 (Room 2016 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Thomas Nikolaus (University of Regensburg), Additive $\infty$-categories and canonical monoidal structures II |

9:00 - 10:00 | Julie Bergner (UC Riverside), Group actions on $(\infty, 1)$-categories |

14:00 - 14:30 | Tom Fiore (University of Michigan), Waldhausen Additivity and Approximation in Quasicategorical $K$-Theory |

14:30 - 15:00 | Urs Schreiber (Raboud University of Nijmegen), Synthetic quantum theory in higher cohesive toposes |

15:00 - 15:30 | Joachim Kock (Barcelona), Incidence algebras and Möbius inversion in Rezk categories and decomposition spaces |

Pseudogroups and their Applications | |

Org: Abraham Smith (Fordham University) and Francis Valiquette (Dalhousie) | |

Pseudogroups appear in various forms which includes local Lie group actions, infinite-dimensional Lie pseudo-groups and more generally Lie groupoids. From the structure theory of pseudogroups to their applications in geometry, differential equations, and gauge theory, the aim of the session is to bring together experts working with transformation groups to discuss the most recent advancements. | |

Thursday June 6 (Room 2118 McCain Building, Dalhousie University) | |

8:00 - 8:30 | Francis Valiquette (Dalhousie), Recursive Moving Frames |

8:30 - 9:00 | Robert Thompson (Minnesota), Invariant submanifold flows and pseudogroup reconstruction |

9:00 - 9:30 | Stephen Anco (Brock), A group foliation method for finding exact solutions to nonlnear PDEs |

9:30 - 10:00 | Alexander Odesskii (Brock), Integrable matrix equations and algebraic structures related to them. |

14:00 - 14:30 | Abraham Smith (Fordham), Tableaux of PDE systems and associated Lie Pseudogroups |

14:30 - 15:00 | Roman Smirnov (Dalhousie), Algebraic aspects of orthogonal coordinate webs |

16:15 - 16:45 | Robert Milson (Dalhouise), A new characterization of the Painleve I equation |

16:45 - 17:15 | Alexander Bihlo (CRM, Université de Montréal), Invariant and conservative parameterization schemes |

17:15 - 17:45 | Dave McNutt (Dalhousie), Vacuum Plane Waves: Equivalence and Physical Interpretation |

Selected Topics in Biomathematics: Applications to Ecology and Aging | |

Org: Joe Apaloo (Stfx) and Arnold Mitnitski (Dalhousie) | |

In this session, we consider a broad range of models applied in several areas of biological sciences and medicine. In particular, we discuss various approaches to modeling complex systems from cell metabolism to ecology, from pattern detection to aging dynamics. By describing the systems in a quantitative manner, we can apply powerful mathematical apparatus which has been developed in the other scientific areas including physics, operation research, and computer science. Examples of such applications will be presented in this session. Mathematical techniques both deterministic and stochastic will be considered and the challenges in the modeling of complex biomedical systems will also be discussed. This mini-session will bring together practitioners and theoreticians who study complex biological phenomena and who model complex biomedical systems. | |

Thursday June 6 (Room 2102 McCain Building, Dalhousie University) | |

8:30 - 9:00 | Joe Apaloo (StFX), Evolutionary Stability in Ecological Populations |

9:00 - 9:30 | Joanna Mills Flemming (Dalhousie), Challenges in Marine Statistical Ecology |

9:30 - 10:00 | Andrew Irwin (MountA), Statistical models of phytoplankton niches in a changing ocean |

14:00 - 14:30 | Arnold Mitnitski (Dalhousie), System biology mechanics of aging: A stochastic dynamics model |

14:30 - 15:00 | Fernando Pena (Dalhousie), Trajectories of changes in health status over fourteen years of older adults using a multi-state modeling. |

16:15 - 16:45 | Aidan Brown (Dalhousie), Peroxisome homeostasis |

16:45 - 17:15 | Swadhin Taneja (Dalhousie), Fracture model of bacterial growth |

17:15 - 17:45 | Joshua Armstrong (Dalhousie), Application of three data mining and machine learning methods in data from the Honolulu-Asian Aging Study |

The Functional Analytic and Representation Theoretic Foundations of Wavelet Theory | |

Org: Jean-Pierre Gabardo (McMaster), Vignon Oussa (Bridgewater State) and Keith Taylor (Dalhousie) | |

As basic techniques of wavelet analysis emerged about 30 years ago, it
was soon recognized that the group of affine transformations of the
real line played a fundamental role. This group possesses a unique
irreducible unitary representation with the property of square-
integrability. The Duflo-Moore orthogonality relations for a
square-integrable representation, discovered in 1976, provided the
perfect context and explanation for the reconstruction formula by
which one can recover an arbitrary signal from its correlations with
the translations and dilations of a single wavelet. Since then, the
theory of wavelet analysis and the set of algorithms and applications
growing out of that theory have had a transformational impact on any
area of human science and culture that uses signals (MP3, EEG, ECG,
ERG, seismic, economic time series, etc.) and images (finger prints,
JPEG2000, MRI, remote sensing, etc.). Wavelet analysis can be used as
a broad term that encompasses a wide range of closely related theories
including Gabor analysis, frames, shearlets, curvelets and ridgelets,
and coherent states. All of these theories can be viewed from the
point of view of special systems of unitary operators on Hilbert space
– this is especially true of the discretization methods through
variations on multiresolution analysis (MRA) – and the unitary
representation theory of some group of transformations that is usually
underlying the theory.
The purpose of this session is to bring together many of the experts who are applying powerful techniques from operator theory, operator algebras, unitary representation theory and other areas of functional analysis to understand and improve on the general family of theories covered by the broadly interpreted term of wavelet analysis. Among the emphasized topics will be the theory of frames; in particular wavelet, Gabor and exponential frames; admissibility conditions for dilation groups; characterizations of shift-invariant subspaces; higher dimensional analogues, such as shearlets; and generalizations of the shift group. Most of the experts on our invitation list apply multiple points of view as they approach problems in wavelet theory and there is significant value in meetings where they can cross-calibrate their work in advancing the area. | |

Wednesday June 5 | |

10:00 - 10:30 | Keith Taylor (Dalhousie University), Wavelets and Representation Theory, Room 2198 McCain Building, Dalhousie University |

10:30 - 11:00 | Vignon Oussa (Bridgewater State University), Continuous Wavelets on Nilpotent Lie Groups and Admissibility, RRoom 2198 McCain Building, Dalhousie University |

11:00 - 11:30 | Bradley Currey (Saint Louis University), Cross-sections for multiply generated abelian group actions, Room 2198 McCain Building, Dalhousie University |

14:00 - 14:30 | Lenka Hakova (Czech Technical University, Prague), Weyl group orbit functions and their remarkable properties, Room 2198 McCain Building, Dalhousie University |

14:30 - 15:00 | Lenka Motlochova (Université de Montréal), Discretization of Weyl group orbit functions, Room 2198 McCain Building, Dalhousie University |

16:15 - 16:45 | Jean-Pierre Gabardo (McMaster University), Convolution inequalities in locally compact groups and unitary systems, Room 2198 McCain Building, Dalhousie University |

Thursday June 6 | |

8:00 - 8:30 | Twareque Ali (Concordia University), Quaternionic wavelets on quaternionic Hilbert spaces, Room 2198 McCain Building, Dalhousie University |

8:30 - 9:00 | Hartmut Führ (RWTH Aachen), Wavelet coorbit theory in higher dimensions, Room 2198 McCain Building, Dalhousie University |

9:00 - 9:30 | Martin Schaefer (Technische Universität Berlin), Alpha-Molecules, Room 2198 McCain Building, Dalhousie University |

9:30 - 10:00 | Palle Jorgensen (University of Iowa), Multiresolutions, multivariable operator theory, and representations., Room 2198 McCain Building, Dalhousie University |

14:00 - 14:30 | Franek Szafraniec (Jagiellonian University, Krakow), Framings and operators, Room 2198 McCain Building, Dalhousie University |

14:30 - 15:00 | Eric Weber (Iowa State University), Vector Valued Wavelets and Multiresolution Analyses, Room 2198 McCain Building, Dalhousie University |

16:15 - 16:45 | Bin Han (University of Alberta), Theory and Application of Frequency-based Framelets, Room 2198 McCain Building, Dalhousie University |

Friday June 7 | |

8:30 - 9:00 | Chun-Kit Lai (McMaster), Frames of multi-windowed exponentials on subsets of ${\mathbb R}^d$, Room 2198 McCain Building, Dalhousie University |

9:00 - 9:30 | Mahya Ghandehari (University of Saskatchewan), Room 2198 McCain Building, Dalhousie University |

9:30 - 10:00 | Enrico Au-Yeung (UBC), Non-Uniform Gabor sampling and Balayage of Fourier transforms, Room 2198 McCain Building, Dalhousie University |