12.12.2024, 16:15
– Raum 0.14
Forschungsseminar Differentialgeometrie
First steps towards an equivariant Lorentzian index theorem
Lennart Ronge (UP)
Dr. Helge Dietert (Université Paris Cité und Sorbonne Université)
In statistical physics, an irreversible macroscopic behaviour can emerge from a reversible model through mixing by a transport operator (Landau damping). I will show how this can be captured mathematically and examine how critical points affect the observed decay. Adding microscopic collisions to the model yields a degenerate dissipation operator and I will discuss the interaction with the transport operator (enhanced dissipation). Finally, I will present how a degenerate dissipation operator can provide regularity by developing a De Giorgi/Nash/Moser theory for hypoelliptic operators.
Aufgrund der eingeschränkten Präsenzteilnehmerzahl wird der Vortrag auch über ZOOM übertragen.
Meeting ID: 628 6874 6465 Für Passcode bitte Sylke Pfeiffer (sypfeiffer@uni-potsdam.de) kontaktieren.