21st Century COE Lecture
[photo]
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Date : |
September 8 (Thu), 2005, 14:00--
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Place : |
Room 402, RIMS
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Lecturer: |
Ingo Waschkies (Univ. de Nice)
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Title : |
Microlocal perverse sheaves on smooth Lagrangian manifolds
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Abstract: [pdf] |
Let X be a complex manifold and \Lambda a smooth conic Lagrangian
subvariety of T^*X. It is well known that the stack of regular holonomic
microdifferential systems on \Lambda is equivalent to the stack of local
systems twisted by \Omega_{\Lambda|X}^{\otimes \frac{1}{2}}. The
topological analogue of regular holonomic microdifferential modules are
called microlocal perverse sheaves, and these two stacks are equivalent
via a microlocal Riemann Hilbert correspondance. In this talk we give a
topological proof (that holds over any field) that the stack of microlocal
perverse sheaves is equivalent to the stack of twisted local systems. Then
we will explain some consequences to the theory of quantized contact
transformations in microlocal
sheaf theory.
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