Prof Ionut Ciocan-Fontanine will give a series of lectures on:

"Quasimaps, I-functions, and Mirror theorems for GIT quotients."

Abstract: Celebrated work of Givental proves genus zero mirror theorems for toric varieties and for complete intersections in them. These theorems express certain generating series of Gromov-Witten invariants (known as the J-functions) in terms of some explicit I-functions which he introduced.
In these lectures I will present an approach to computing the Gromov-Witten invariants of (many) GIT quotients via the theory of stable quasimaps (the toric case corresponds to quotients by abelian groups). I will explain how this theory leads to generalizations in many directions of Givental's results.

 Lecture 1: Monday 18 November, 3pm--4pm in 341 Huxley

Lecture 2: Thursday 21 November, 1pm--2.30pm in 342 Huxley

Lecture 3: Monday 25 November, 3pm--4pm in 341 Huxley

Lecture 4: Monday 2 December, 3pm--4pm in 341 Huxley

Lecture 5: Thursday 5 December, 1pm--2.30pm in 342 Huxley