Previous Special Year Seminar

Jan
20
2017

Homological Mirror Symmetry (Mini-Course)

Constructible sheaves in mirror symmetry
10:45am|S-101

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...

Jan
18
2017

Homological Mirror Symmetry (Mini-Course)

Constructible sheaves in symplectic topology
10:45am|S-101

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...

Dec
16
2016

Homological Mirror Symmetry (Mini-Course)

Numerical invariants from bounding chains
10:45am|S-101

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...

Dec
14
2016

Homological Mirror Symmetry (Mini-Course)

Numerical invariants from bounding chains
10:45am|S-101

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...