Helge Gloeckner (Paderborn)

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.