Michael McAuley (Technological University Dublin)

will speak on

Geometry and topology of smooth Gaussian fields

Time: 2:00PM
Date: Wed 16th April 2025
Location: E0.32 (beside Pi restaurant) [map]

Abstract: Gaussian fields arise in a variety of contexts in both pure and applied mathematics. While their geometric properties are well understood, their topological features pose deeper mathematical challenges. In this talk, I will begin by highlighting some motivating examples from different domains. I will then outline the classical theory that describes the geometric behaviour of Gaussian fields, before turning to more recent developments aimed at understanding their topology. The talk is intended for a general mathematical audience: no prior knowledge of Gaussian fields will be assumed.

(This talk is part of the Probability series.)

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