Abstract: To study rationality of special $L$-values, it is a basic problem to find and analyze rational structures of automorphic representations and their cohomology groups. As Raghuram--Shahidi pointed out, it is morally necessary to work out the representations at the infinite places as well as at the finite places. To construct rational forms of complex irreducible Harish-Chandra modules, Michael Harris proposed to use twisted D-modules on…

Title: A Chebotarev Density Theorem over local fields Abstract: I will present an analog of the Chebotarev Density Theorem which works over local fields. As an application, I will use it to prove a conjecture of Bhargava, Cremona, Fisher, and Gajovi\'c. This is joint work with Asvin G and Yifan Wei.

Parabolic equations on evolving domains model a multitude of applications including various industrial processes such as the molding of heated materials. These equations are numerically challenging as they require large-scale computations and the usage of parallel hardware. Domain decomposition is a common choice of numerical method for stationary domains, as it gives rise to parallel discretizations. In this talk, we introduce a variational…

Abstract:  Die gymnasiale Oberstufe hat in den letzten Jahrzehnten einen stetigen Zulauf erfahren, sodass die Abiturientenquote eines Altersjahrgangs heute bei etwa 40 Prozent liegt. Dadurch nimmt sie einen immer bedeutenderen Platz im institutionalisierten schulischen Bildungsangebot ein, weshalb eine (erneute) wissenschaftliche Auseinandersetzung mit den Bildungszielen und den Wirkungen des Unterrichts in der gymnasialen Oberstufe sinnvoll…