Vorträge in der Woche 05.05.2025 bis 11.05.2025
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Dienstag, 06.05.2025: Tannakian categories
Giacomo Gavelli
| Uhrzeit: | 14:15 |
| Ort: | C9A03 |
| Gruppe: | Obeseminar Analysis und Zahlentheorie |
| Einladender: | Deitmar |
Donnerstag, 08.05.2025: TBA
Benjamin Meco (Uppsala University)
TBA
| 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) |
Donnerstag, 08.05.2025: Lattice points in high-dimensional spheres and balls with small radii and dimension-free estimates for discrete maximal functions
Dr. Blazej Wróbel (University of Wroclaw)
Counting the number of integer lattice points on the surface of a $d$-dimensional sphere of radius $r$ is a theme that has been studied for several centuries. Still, there are questions which remain open to this day. In particular, asymptotic formulas which are uniform in both $d$ and $r$ are not known for all possible ranges of the dimensions and radii. I will talk about a recent result, together with my student J. Niksinski, in which we establish such an asymptotic formula within the range $r^2<0.1d.$ I will also describe applications of this asymptotic formula to dimension-free estimates of discrete maximal functions over spheres and balls. This makes progress on a question we studied several years ago with J. Bourgain, M. Mirek, and E. M. Stein.
| Uhrzeit: | 16:00 |
| Ort: | C3N14 |
| Gruppe: | Oberseminar Mathematical Physics |
| Einladender: | Keppeler, Lemm, Pickl, Teufel, Tumulka |