# Helge Gloeckner (Paderborn)

Date

Friday September 22, 20232:30 pm - 3:30 pm

Location

Jeffery Hall, Room 234## Math & Stats Department Colloquium

**Friday, September 22nd, 2023**

**Time:** 2:30 p.m. **Place: **Jeffery Hall, Room 234

**Speaker:** Helge Gloeckner (Paderborn)

**Title:** Flows, diffeomorphism groups, and regularity

**Abstract:** Infinite-dimensional Lie groups provide a framework to study parameter-dependence of solutions to differential equations on a (say) compact manifold M, even in situations where a time-dependent vector field is only measurable in time. In the talk, an introduction to infinite-dimensional Lie groups is provided. Concepts of regularity of Lie groups are described. In the case of Lie groups of smooth or real-analytic diffeomorphisms, these are intimately related to the parameter-dependence of flows of differential equations on M.

**Bio:** Helge Glöckner studied Mathematics and Physics at Darmstadt and Imperial College London. Following research at Erlangen and Darmstadt, he received a Ph.D. in Mathematics in 1999. As a post-doc, Glöckner held researcher positions at Darmstadt and Göttingen, as well as a position of visiting assistant professor at LSU (Baton Rouge). In 2007, he became a Heisenberg Professor for Infinite-Dimensional Analysis and Geometry at Paderborn University, financed by the German Research Council (DFG). The latter was transformed into a permanent full professorship in 2012.