Geometrie und Approximation
Vertex Algebras in Number Theory, Geometry and Physics
Mathematisches Kolloquium im Sommersemester 2024
When?
May 08, 2024, 17:15-19:00
Where?
Hörsaal der Kernphysik
S2|14 24
Schlossgartenstr. 9
64289 Darmstadt
Organiser
FB Mathematik
Contact
Dr. Sven Möller, TU Hamburg / TU Darmstadt
Vertex algebras describe 2-dimensional conformal field theories in physics. They were introduced in the 1980s to explain mysterious connections between number and representation theory (monstrous moonshine). Recently, they were also shown to capture certain aspects of 4-dimensional superconformal field theories.
In this talk I will describe recent classification results for holomorphic vertex algebras of central charge 24 by means of automorphic forms.
Then, I will sketch classification problems arising in the context of 4-dimensional physics and how they can be tackled using vertex algebras and symplectic geometry.
Tags
Mathematisches Kolloquium, Mathematik, Numerik, Algebra