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Search: MSC category 35A27 ( Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15] )

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1. CJM 2008 (vol 60 pp. 241)

Alexandrova, Ivana
 Semi-Classical Wavefront Set and Fourier Integral Operators Here we define and prove some properties of the semi-classical wavefront set. We also define and study semi-classical Fourier integral operators and prove a generalization of Egorov's theorem to manifolds of different dimensions. Keywords:wavefront set, Fourier integral operators, Egorov theorem, semi-classical analysisCategories:35S30, 35A27, 58J40, 81Q20

2. CJM 2002 (vol 54 pp. 493)

 Perverse Sheaves on Grassmannians We compute the category of perverse sheaves on Hermitian symmetric spaces in types~A and D, constructible with respect to the Schubert stratification. The calculation is microlocal, and uses the action of the Borel group to study the geometry of the conormal variety $\Lambda$. Keywords:perverse sheaves, microlocal geometryCategories:32S60, 32C38, 35A27