Math 290F: Sheaves in Symplectic Geometry
The goal of this quarter's working
seminar is to understand sheaf theory in symplectic
geometry as a substitute for the Fukaya category.
Our main goal is to understand the NadlerZaslow
correspondence.
Schedule
of talks
Notes will be made available here.
Talk
1: Introduction (Ko Honda)
Talk
2: Review of sheaves, derived and dg categories (Joe
Breen)
Talk
3: Review of constructible sheaves and operations on
sheaves (Austin Christian)
Talk
4: Constructible sheaves and generation (Sangjin Lee)
Talk
5: Microsupport of a sheaf (Ikshu Neithalath)
Talk
6: Review of A_\infty categories, triangles, twisted
complexes (Eilon ReisinTzur)
Talks
7 & 8: Review/definition of Fukaya category  the full
version (Tianyu Yuan)
Talk
9: From de Rham to Morse (Tianyu Yuan and Wenda Li)
Talk
10: The conormal torus is a complete knot invariant,
following Schende (Dave Boozer)
Main references
NadlerZaslow [NZ], "Constructible sheaves and the Fukaya
category"
Nadler [N], "Microlocal branes are constructible sheaves"
KashiwaraShapira [KS], "Sheaves on manifolds"
Viterbo [V], "An introduction to symplectic topology through
sheaf theory"
Shende [S], https://math.berkeley.edu/~vivek/274.html
Auroux [A], "A beginner's introduction to Fukaya categories"
