I will survey the coherent-constructible correspondence of
Bondal, which embeds the derived category of coherent sheaves on a
toric variety into the derived category of constructible sheaves on
a compact torus. The tools of the first lecture turn...
I will give an introduction to the microlocal theory of sheaves
after Kashiwara and Schapira, and some of its recent applications
in symplectic topology. I'll start with the basics, but target
applications for the 75 minutes are Tamarkin's proof of...
I'll begin with a leisurely introduction to Fukaya A-infinity
algebras and their bounding chains. Then I'll explain how to use
bounding chains to define open Gromov-Witten invariants. The
bounding chain invariants can be computed using an open...
I'll begin with a leisurely introduction to Fukaya A-infinity
algebras and their bounding chains. Then I'll explain how to use
bounding chains to define open Gromov-Witten invariants. The
bounding chain invariants can be computed using an open...
Noncommutative geometry, as advocated by Konstevich, proposes to
replace the study of (commutative) varieties by the study of their
(noncommutative) dg/A-infinity categories of perfect complexes.
Conveniently, these techniques can then also be...
