Claudia Lückert

Wilhelm Killing Kolloquium: Prof. Dr. Björn Bringmann (Princeton): Probabilistic aspects of scalar and geometric wave equations

Wednesday, 07.06.2023 14:15 im Raum M5

Mathematik und Informatik

This talk provides an accessible overview of recent developments in the theory of scalar and geometric wave equations with random initial data. This area of research lies at the intersection of differential geometry, partial differential equations, and probability theory, and therefore connects to many beautiful topics in mathematics. In the first part of this talk, we review Hamiltonian equations on both Euclidean space and manifolds. Furthermore, we explain how basic results for Hamiltonian equations serve as a motivation for intricate questions on nonlinear wave equations. In the second and third parts of this talk, we state separate theorems for a scalar and a geometric wave equation, respectively. Without discussing any technical aspects, we will try highlight the interplay of different techniques needed for their proofs.

Angelegt am 06.03.2023 von Claudia Lückert
Geändert am 22.05.2023 von Claudia Lückert
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Kolloquium Wilhelm Killing
Kolloquium der angewandten Mathematik