Oberseminar: Calculus of Variations and Applications

The seminar takes place on Wednesday, starting from 4:15 pm, in room A 027, unless indicated otherwise.

Past semesters

Date	Speaker	Remark
15.10.2025	Jinyeop Lee	Website
22.10.2025	Phan Thanh Nam and David Scholz

15.10.2025: Jinyeop Lee (University of Basel).

Title: Derivation of the Chern–Simons–Schrödinger equation from the dynamics of an almost-bosonic-anyon gas

Abstract: We study the time evolution of an initial product state in a system of almost-bosonic-extended-anyons in the large-particle limit. We show that the dynamics of this system can be well approximated, in finite time, by a product state evolving under the effective Chern–Simons–Schrödinger equation. Furthermore, we provide a convergence rate for the approximation in terms of the radius R=(logN)^{-½+ε} of the extended anyons. These results establish a rigorous connection between the microscopic dynamics of almost-bosonic-anyon gases and the emergent macroscopic behavior described by the Chern–Simons–Schrödinger equation.
22.10.2025: Phan Thanh Nam and David Scholz (LMU Munich).

Title: Compactness of Minimizing Sequences for Sobolev and Hardy–Sobolev–Littlewood Inequalities: Revisited

Abstract: We will revisit the concentration–compactness method. The first speaker will present a simplified proof of the compactness of minimizing sequences associated with the Sobolev inequality, based on a recent joint work with Charlotte Dietze. The second speaker will discuss the extension of this approach to the Hardy–Sobolev–Littlewood inequality.