Vorträge
Vorträge diese Woche
Mittwoch, 09.07.2025: The tropical Donagi theorem
Thomas Saillez (Université Libre de Bruxelles)
In tropical geometry, we have a lot of analogues of theorems from algebraic geometry. The aim of this talk is to discuss the tropical analogy of the tetragonal construction, which is a combinatorial construction used in the study of abelian varieties. Under reasonable assumptions, the tetragonal construction associates to the data of a double cover of a quadruple cover of a curve two other pairs of such covers. A remarkable result is that indeed it forms a triality of pairs of covers (applying the construction to one pair of covers outputs the other two) and that the Prym varieties, a generalization of Jacobians arising from double covers, are isomorphic.
We are going to introduce those elements in the context of tropical geometry and explore the results we can obtain there.
Uhrzeit: |
14:15 - 15:15 |
Ort: |
C4H33 and Zoom (Email Felix Röhrle for Link) |
Gruppe: |
Oberseminar Kombinatorische Algebraische Geometrie |
Einladender: |
Felix Röhrle |
Mittwoch, 16.07.2025: What is (Mathematically) a Neural Network?
Dr. Armando Cabrera Pacheco (Universität Tübingen)
Given the hype surrounding machine learning and artificial intelligence, it is natural
to be curious about what neural networks are and how they work. However, while
there is a lot of information on the subject, it is not easy to find it in a form suitable
for (some) mathematicians. When looking for a concrete explanation of what neural
networks are, one often finds analogies related to neuroscience and not much of the
actual mathematical framework behind them, which often leaves mathematicians
unsatisfied. In this talk, we will look at neural networks from a purely mathematical
point of view. We will discuss some of the straightforward challenges, both from a
mathematical and computational viewpoint, that these powerful tools present.
Uhrzeit: |
14:30 |
Ort: |
N14 C-Bau (Morgenstelle) |
Gruppe: |
Habilitationsvortrag und -kolloquium im Fachbereich Mathematik |
Einladender: |
MNF Der Dekan |
Donnerstag, 17.07.2025: TBA
Nicolai Rothe (TU Berlin)
Uhrzeit: |
16:00 |
Ort: |
C3N14 |
Gruppe: |
Oberseminar Mathematical Physics |
Einladender: |
Keppeler, Lemm, Pickl, Teufel, Tumulka |
Freitag, 18.07.2025: Strenge Kommutativität von höheren Homotopiegruppen
Philipp Schmale (Uni Tübingen)
Uhrzeit: |
14:15 - 16:00 |
Ort: |
C4H33 |
Gruppe: |
Oberseminar Differentialgeometrie und Topologie |
Einladender: |
Bohle, Loose |
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 |