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# Math Science Lectures in Honor of Raoul Bott: Mina Aganagic

## April 9, 2019 @ 4:00 pm

On** April 9 and 10, 2019** the CMSA hosted two lectures by **Mina Aganagic** (UC Berkeley). This was the second annual Math Science Lecture Series held in honor of Raoul Bott.

The lectures took place in **Science Center, Hall C**

**“Two math lessons from string theory”**

Lecture 1:
April 9, 2019 |
Part of the interest in the qKZ monodromy problem is that its solution leads to integrable lattice models, in parallel to how monodromy matrices of the KZ equation lead to knot invariants. Thus, our solution of the problem leads to a new, geometric approach, to integrable lattice models. There are two other approaches to integrable lattice models, due to Nekrasov and Shatashvili and to Costello, Witten and Yamazaki. I’ll describe joint work with Nikita Nekrasov which explains how string theory unifies the three approaches to integrable lattice models. |

Lecture 2:
April 10, 2019 |
The first approach is based on a category of B-type branes on resolutions of slices in affine Grassmannians. The second is based on a category of A-branes in a Landau-Ginzburg theory. The relation between them is two dimensional (equivariant) mirror symmetry. String theory also predicts that a third approach to categorification, based on counting solutions to five dimensional Haydys-Witten equations, is equivalent to the first two. This talk is mostly based on joint work with Andrei Okounkov. |

Information about last year’s Math Science Bott lecture can be found here.