Previous Special Year Seminar

We discuss the Kadaira-Spencer gauge theory (or BCOV theory) on Calabi-Yau geometry. We explain Givental's loop space formalism at cochain level which leads to a degenerate BV theory on Calabi-Yau manifolds. Homotopic BV quantization together with a...

Continuing from February 28, I will attempt to explain Costello's set up of the problem of perturbative quantization of a gauge theory in the Batalin-Vilkovisky formalism, thus allowing us to formulate the main results of Costello and Li.

This talk is an introduction to the work of Witten on physical approaches to knots, especially based on hep-th 1101.3216. Classical approaches to the Jones polynomial are based on various combinatorial constructions which have the downside of not...

In the two talks, aimed at a broad mathematical audience, I'll explain my conjecture, joint with Gross, Hacking, and Siebert, which says, informally, that if you live on a Calabi Yau, your world comes with an intrinsic global positioning system...

In the two talks, aimed at a broad mathematical audience, I'll explain my conjecture, joint with Gross, Hacking, and Siebert, which says, informally, that if you live on a Calabi Yau, your world comes with an intrinsic global positioning system...

Continuing from February 14, I will attempt to explain Costello's set up of the problem of perturbative quantization of a gauge theory in the Batalin-Vilkovisky formalism, thus allowing us to formulate the main results of Costello and Li.