Speaker:  Anton Mellit (University of Vienna)

Date and time: 17.06.2020, 18:00 (GMT +03:00)

Title: The Tutte polynomial and toric Nakajima quiver varieties

Abstract:  I will explain how a specialization of the Tutte polynomial of a graph naturally is related to counting of linear algebra objects over a finite field. Many properties of the Tutte polynomial, such as cut and join relations, spanning tree expansion have a direct natural interpretation in this picture. In fact I will talk about 3 versions of the linear algebra problem, in the increasing level of difficulty: 1-dimensional quiver representations, preprojective algebra representations and the Nakajima quiver variety. I will give an elementary introduction to these objects. 

The talk is based on the joint work https://arxiv.org/abs/1910.01633 with Tarig Abdelgadir, and Fernando Rodriguez-Villegas.

To access the online seminar please contact  Anna Tolbey bekvaanna@gmail.com