Vorträge in der Woche 13.04.2026 bis 19.04.2026
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Dienstag, 14.04.2026: Boundary stratifications of Hurwitz spaces
Darragh Glynn (Warwick)
A Hurwitz space is a moduli space parametrising regular maps of algebraic curves with prescribed branching data. Building on work of Harris-Mumford, Abramovich-Corti-Vistoli describe a smooth compactification whose boundary parametrises degenerate maps. The boundary decomposes into connected subsets, or strata, corresponding to combinatorial types of degenerations. I will present recent results giving an explicit, implementable description of the strata. This description leads to a natural definition of a tropical Hurwitz space and has applications in complex dynamics.
| Uhrzeit: | 10:15 - 11:15 |
| Ort: | C4H33 |
| Gruppe: | Oberseminar kombinatorische algebraische Geometrie |
| Einladender: | Daniele Agostini, Hannah Markwig |
Donnerstag, 16.04.2026: Tensor maximum principles and applications to extrinsic geometric flows
Marcus Flook (Australian National University)
In this talk, I will introduce and sketch a proof of a version of the tensor maximum principle, originally from a paper by Ben Andrews, which 'squeezes' out additional positive terms from the elliptic component. I will then discuss applications of this maximum principle for pinching estimates for a broad class of extrinsic geometric flows.
| Uhrzeit: | 13:30 |
| 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, 16.04.2026: Scattering Cross Section Formula Derived From Macroscopic Model of Detectors
Rashi Kaimal (Tübingen)
In this seminar, I provide a justification of the statement, commonly (explicitly or implicitly) used in quantum scattering theory, that for a free non-relativistic quantum particle surrounded by detectors, the probability distribution of the detection time and place has asymptotic density given by the scattering cross section formula. We will discuss two derivations of this formula, based on different macroscopic models of the detection process. The first one consists of a negative imaginary potential. The second one consists of repeated nearly projective measurements to check if the particle has entered the detector volume. I will also provide a comparison to Bohmian mechanics and discuss how the arrival times and places differ from the detection times and places in the presence and absence of detectors. Finally, we discuss generalizing the results to other cases (like arbitrary surfaces, N-particles, etc.).
| Uhrzeit: | 14:30 |
| Ort: | C3N14 |
| Gruppe: | Oberseminar Mathematical Physics |
| Einladender: | Keppeler, Lemm, Pickl, Teufel, Tumulka |