Mathematical Colloquium
Upcoming talks:
| Tue 27 May 2025, 16:30: Afonso Bandeira (ETH Zürich) Towards a sharp non-asymptotic theory for structured random matrices (and tensors) |
| TBA ______________________ Invited by Prof. Holger Rauhut |
| Theresienstr. 39, München. Room A 027 |
| Tue 3 Jun 2025, 16:30: Lauriane Chomaz (Universität Heidelberg) TBA |
| TBA _____________________ Invited by Prof. Arnaud Triay |
| Theresienstr. 39, München. Room A 027 |
| Tue 17 Jun 2025, 16:30: Eyal Neuman (Imperial College London) Stochastic Graphon Games with Memory |
| We study finite-player dynamic stochastic games with heterogeneous interactions and non-Markovian linear-quadratic objective functionals. We derive the Nash equilibrium explicitly by converting the first-order conditions into a coupled system of stochastic Fredholm equations, which we solve in terms of operator resolvents. When the agents' interactions are modeled by a weighted graph, we formulate the corresponding non-Markovian continuum-agent game, where interactions are modeled by a graphon. We also derive the Nash equilibrium of the graphon game explicitly by first reducing the first-order conditions to an infinite-dimensional coupled system of stochastic Fredholm equations, then decoupling it using the spectral decomposition of the graphon operator, and finally solving it in terms of operator resolvents. Moreover, we show that the Nash equilibria of finite-player games on graphs converge to those of the graphon game as the number of agents increases. This holds both when a given graph sequence converges to the graphon in the cut norm and when the graph sequence is sampled from the graphon. We also bound the convergence rate, which depends on the cut norm in the former case and on the sampling method in the latter. Finally, we apply our results to various stochastic games with heterogeneous interactions, including systemic risk models with delays and stochastic network games. ______________________________ Invited by Prof. Alexander Kalinin |
| Theresienstr. 39, München. Room A 027 |
| Tue 8 Jul 2025, 16:30: Femke Sporn (IPN Kiel) Mathematisches Beweisverständnis in Sekundarstufe und Hochschule - Entwicklung und Förderung |
| Das Beweisen ist für die Mathematik als Disziplin von zentraler Bedeutung und spielt daher auch in der mathematischen Ausbildung eine wichtige Rolle. Lernende sollen die Mathematik als deduktives System begreifen, die Art der Absicherung mathematischer Ergebnisse verstehen, argumentative Herausforderungen erfolgreich bewältigen können und so ein adäquates Verständnis von mathematischen Beweisen aufbauen. Ausgehend von einem theoretischen Rahmenmodell zum mathematischen Beweisverständnis werden Ergebnisse empirischer Studien vorgestellt, die das Beweisverständnis von Lernenden in unterschiedlichen Phasen der mathematischen Ausbildung untersuchen und Möglichkeiten der Förderung aufzeigen. ______________________ Invited by Prof. Stefan Ufer |
| Theresienstr. 39, München. Room A 027 |
All lectures are on Tuesdays at 4:30 pm in lecture hall A027 unless otherwise noticed.
Looking for past events? You may find them in the Munich Mathematical Calendar.