Donnerstag, 03.07.2025: Sharp lower bound for the charged Hawking mass in the electrostatic space
Prof. Dr. Benedito Leandro Neto (Universidade de Brasilia)
We prove sharp lower bounds for the charged Hawking mass of stable surfaces in electrostatic space-times in various contexts. An upper bound for the genus of stable surfaces in the electrostatic system is provided. We also study the positivity for the charged Hawking mass of a minimal surface with index one in the electrostatic space-times. A criterion for a CMC surface in the Reissner-Nordstrom deSitter space to be stable is presented.
| Uhrzeit: |
14:00 |
| Ort: |
Seminarraum C4H33 and virtual via zoom, for zoom link please contact Martina Neu |
| Gruppe: |
Oberseminar Geometrische Analysis, Differentialgeometrie und Relativitätstheorie |
| Einladender: |
Carla Cederbaum, Gerhard Huisken, zusammen mit Jan Metzger (Potsdam) |
Montag, 21.07.2025: Asymptotic Stability of Solitons
Prof. Jonas Lührmann (Texas A&M)
Many wave phenomena in nature, from water waves to light pulses in optical fibers, can be described by nonlinear dispersive equations. Among their solutions, solitons are particularly remarkable: they are localized waves that retain their shape as they travel, behaving almost like particles despite being waves.
In this talk, I will explain what solitons are and why they are important for understanding the long-time behavior of nonlinear dispersive equations. I will also discuss recent progress on the question of the asymptotic stability of solitons in lower-dimensional settings where the strong interactions between solitons and dispersive waves lead to especially rich dynamics.
| Uhrzeit: |
17:15 |
| Ort: |
N14 |
| Gruppe: |
Kolloquium |
| Einladender: |
Teufel |
