Dates: Wednesday, November 18, 2026 - February 3, 2027
Organizers Hausdorff Colloquium: Johannes Alt, Jürgen Dölz, Herbert Koch
Organizers HSM Colloquium: Magdalena Balcerak Jackson, Jilly Kevo, Tingxiang Zou
Venue: Lipschitzsaal, Mathezentrum, Endenicher Allee 60, 53115 Bonn
Date
Hausdorff Tea
Hausdorff Colloquium
HSM Colloquium
18.11.2026
15:00
15:15
Patrick Gerard (Université Paris-Saclay)
09.12.2026
15:00
15:15
Sybille Schroll (Universität Köln)
13.01.2027
15:00
15:15
Scott Armstrong (Sorbonne Université)
TBA
15:00
15:15
TBA
03.02.2027
15:00
15:15
Hanno Gottschalk (TU Berlin)
"Generative AI for Numerical Simulation and Inverse Problems: from Theory to Technology"
TBA
15:00
15:15
TBA
Hanno Gottschalk (Sorbonne Université): Generative AI for Numerical Simulation and Inverse Problems: from Theory to Technology
We discuss applications of generative machine learning in numerical simulation both from the theoretical and numerical level. When it comes to learning on data generated by deterministic systems like turbulent flow, several amendments to statistical learning theory have to be taken care of. In particular, we have to replace the standard assumption of independent and identically distributed data with ergodicity assumptions for dynamical systems. We show that this is possible, including derivation of convergence rates. Loosely based on this conceptual basis, we present numerical studies on turbulent flow starting from state snapshots going over to dynamics learned by world models. We furthermore discuss the solution to inverse problems based on recent diagonal flow matching models and how to combine this with generative simulations into interactive and explainable generative design systems.