Abstract: Consider a Schrödinger operator defined in the Euclidean space. In their celebrated 1976 paper, Lieb and Thirring proved an upper bound on the Riesz means of such an operator involving an integral of a power of the potential. Finding optimal constants in special cases of this inequality has been an active area of research for the past decades.
In this talk we prove that these Lieb—Thirring inequalities in Euclidean space easily…
Vortragstitel:
Universal central extensions of the Lie algebra of volume-preserving vector fields
Abstract:
The goal of the talk is proving a conjecture of Claude Roger about the universal central extension of the Lie algebra of volume-preserving vector fields. In the beginning we will briefly review the notion of central extensions of Lie algebras and their link to Chevalley-Eilenberg-cohomology. We will then proceed to Roger's…
Abstract: Consider a Schrödinger operator defined in the Euclidean space. In their celebrated 1976 paper, Lieb and Thirring proved an upper bound on the Riesz means of such an operator involving an integral of a power of the potential. Finding optimal constants in special cases of this inequality has been an active area of research for the past decades.
In this talk we prove that these Lieb—Thirring inequalities in Euclidean space easily…
Titel: tba
Abstract: tba
Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich oder Benjamin Delarue Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.
Abstract: There is a curious relation between two kinds of phase space distributions associated to eigenfunctions of the Laplacian on a hyperbolic surface: Patterson-Sullivan distributions, which are geodesics-flow invariant distributions, and Wigner distributions, which arise in quantum chaos and are invariant under the wave group.
In this talk, we will describe these two distributions and generalise them on convex-cocompact hyperbolic…
Title: Classification of imaginary quadratic number fields of class number 1, part II
Abstract: In this talk, we show how Baker's result on linear forms in logarithms of algebraic numbers provides a solution to the problem of classifying imaginary quadratic number fields of class number one, following the approach of Bundschuh and Hock.
Titel: tba
Abstract: tba
Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich oder Benjamin Delarue Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.
Title: On Galois extensions with cyclic decomposition groups
Abstract: Call a Galois extension of number fields "locally cyclic" if all its decomposition groups are cyclic.
Such extensions are interesting by themselves, but are also of significance for other problems in and around inverse Galois theory.
I will give a survey of several recent results by myself and others, in part on realizing…
Am 31. Januar 2025 findet am Institut für Mathematik das Kolloquium des SFB-TRR 358 statt. Die Vortragenden sind Prof. Thomas Schick (Göttingen) und Prof. Tobias Hartnick (KIT Karlsruhe).
