### Studying Landscape Topology Trivialization in High-Dimensional Random Systems

Mathematical Physics Seminar

18th March 2022, 1:45 pm – 3:30 pm

Fry Building, 2.04

Motivated by the recent surge of interest in properties of high-dimensional random systems we concentrate on studying the ''topological complexity'', i.e. the rate of growth of the number of dynamical equilibria with growing number of degrees of freedom. I will discuss a few different models of such systems and discuss how the topological complexity change against variation of control parameters, and what are different scenarios for transitions from topologically simple/trivial phase to topologically complex. I will also discuss the associated random matrix results used in the calculations, if time permits.

*Biography:*

Talk recording: https://mediasite.bris.ac.uk/Mediasite/Play/81a3a6cf3f9a4b6daa969cd8f133e19a1d

*Organiser*: Thomas Bothner

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