Previous Special Year Seminar

Nov
15
2016

Homological Mirror Symmetry Reading Group

Gamma class from Gauged Linear Sigma Models and B-brane transport
10:45am|Dilworth Room

I'll explain the main result on my paper with Kentaro 1308.2438 [hep-th], which recovers (and generalizes) Iritani's central charge expression, that can be found, for example, in 0903.1463[math.AG]. For this physics derivation I'll have to introduce...

Nov
04
2016

Homological Mirror Symmetry Reading Group

A proof of Gamma conjecture in some cases via mirror symmetry
Hiroshi Iritani
10:45am|West Building Lecture Hall

I will discuss Gamma conjecture and its proof in some examples (such as complete intersections in toric varieties) using mirror symmetry. Specifically, I will talk about the B-model $D$-module associated with a LG model, Dubrovin conjecture, and...

Nov
02
2016

Homological Mirror Symmetry Seminar

Riemann-Hilbert correspondence revisited
10:45am|West Building Lecture Hall

Conventional Riemann-Hilbert correspondence relates the category of holonomic $D$-modules (de Rham side) with the category of constructible sheaves (Betti side). I am going to reconsider this relationship from the point of view of deformation...

Oct
28
2016

Homological Mirror Symmetry (Mini-Course)

Logarithmic Gromov-Witten invariants
10:45am|S-101

Following Katz-Nishinou, we will compute the number of lines on a quintic threefold in $\mathbb P^4$ by degenerating the quintic to the union of coordinate hyperplanes. This motivates degeneration formulae in Gromov-Witten theory that I will give...