Random Matrix Theory Seminar

Speaker: Hamed Hessam (Western)

"Schwinger-Dyson Equations"

Time: 14:30

Room: MC 106

In this talk we shall derive Tutte's Recursion from 1 marked boundary planar maps. We shall then obtain the Schwinger-Dyson Equations (SDEs) and give a matrix model proof of Tutte's Recursion, and time permitting, we will study higher genus Tutt's Recursions.

GAP Seminar

Speaker: Hamed Hessam (Western)

"Bootstrapping Dirac Ensembles"

Time: 10:30

Room: MC 108

In this talk we will see a technique called bootstraps can be applied to find the moments of a single matrix and two-matrix models taken from finite noncommutative geometries. We will discuss the relationships between the order parameter of the model and the second moment. From there all other moments are able to be expressed as in terms of the order parameter and the second moment, allowing them to be computed. This work is based on the joint paper of mine with Masoud Khalkhali and Nathan Pagliaroli.

Algebra Seminar

Speaker: Rachel Davis (The University of Wisconsin-Madison)

"The Galois action on the exceptional curves of del Pezzo surfaces"

Time: 14:30

Room: ZOOM

This talk will be a survey of literature about the Galois action on exceptional curves on del Pezzo surfaces. We will begin by discussing the permutation of the 27 lines on a cubic surface and giving examples. Other examples are the 28 bitangents on a quartic plane curve and the 240 (-1)-curves on a degree 1 del Pezzo surface. The story will reference work by Carter, Corn, Elsenhans-Jahnel, Kulkarni, Shioda, and Varilly-Alvarado.