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Mathematics Calendar

October 27, 2023
Friday, October 27
Colloquium
Time: 15:30
Speaker: Alexandre Odesskii (Brock University)
Title: "When the Fourier transform is one loop exact?"
Room: MC 107

Abstract: We investigate the question: for which functions f(x1,...,xn), g(x1,...,xn) the asymptotic expansion of the integral g(x1,...,xn)ef(x1,...,xn)+x1y1+...+xnyndx1...dxn consists only of the first term. We reveal a hidden projective invariance of the problem which establishes its relation with geometry of projective hypersurfaces of the form {(1:x1:...:xn:f)}. We also construct various examples, in particular we prove that Kummer surface in \P3 gives a solution to our problem. This is a joint work with Maxim Kontsevich.

Graduate Seminar
Time: 16:30
Speaker: Nathan Pagliaroli (Western)
Title: "The Gaussian Unitary Ensemble and the Enumeration of Maps"
Room: MC 1078

Abstract: In this talk I will introduce the notation of a matrix ensemble with a focus on the Gaussian Unitary Ensemble (GUE) as an example. I will introduce its basic properties in connection with map enumeration. In particular, I will outline a proof of the Genus Expansion Formula for moments of the GUE. Time permitting we will discuss the famous Harer-Zagier formula.