Zurich colloquium in mathematics

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Date / Time

Speaker

Title

Location

24 October 2023
16:30-18:15

Prof. Dr. Peter Hintz
ETH Zurich, Switzerland

Details

Title	Perturbations and weak interactions of black holes
Speaker, Affiliation	Prof. Dr. Peter Hintz, ETH Zurich, Switzerland
Date, Time	24 October 2023, 16:30-18:15
Location	KO F 150
Abstract	Following a brief introduction to general relativity and the Einstein field equations, I will discuss two interrelated recent developments in the mathematical study of black holes and some of the mathematical techniques involved. In the first part, I describe the stability properties of various exact black hole solutions under regular small perturbations, namely the relaxation of an out-of-equilibrium black hole to a stationary state; this has been the subject of intense recent activity by a number of research groups, and is now understood in a fair amount of detail. In the second part, I will discuss work in progress towards the construction of singular perturbations of spacetimes via the insertion of small black holes: this aims to provide the first rigorous examples of spacetimes describing the merger of two black holes with extreme mass ratios.

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KO F 150

5 December 2023
16:30-18:15

Prof. Dr. Alice Guionnet
ENS Lyon

Details

Title	About universality in random matrix theory
Speaker, Affiliation	Prof. Dr. Alice Guionnet, ENS Lyon
Date, Time	5 December 2023, 16:30-18:15
Location	KO F 150
Abstract	Wigner's surmise states that the spectrum of the Hamiltonian of heavy nuclei is distributed like that of a large random matrix. Since it was proposed by Wigner in 1956, the eigenvalue distribution of large random matrices has been used as a toy model to study the distribution of more complex mathematical objects such as random tiles or the longest increasing subsequence of a random perturbation. However, this universality phenomenon generally concerns distributions derived from Gaussian matrices, known as the Gaussian ensembles. In this talk, we will discuss more general universality classes that appear in the theory of random matrices, how they stand out and open questions.

About universality in random matrix theoryread_more

KO F 150

19 December 2023
16:30-18:15

Prof. Dr. Ivan Smith
University of Cambridge

Details

Title	New directions in floer theory
Speaker, Affiliation	Prof. Dr. Ivan Smith, University of Cambridge
Date, Time	19 December 2023, 16:30-18:15
Location	KO F 150

New directions in floer theory

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