Begrüßung Room: F442, F428

Applications of Modularity in Arithmetic Geometry and Number Theory

• Timo Keller

Modular forms are connected to several areas of arithmetic geometry and number theory, for example through the Langlands program. They have the useful property that they are amenable to computations. We give an introduction to the theory of classical modular forms, their relation to elliptic curves and abelian varieties and the Galois representations attached to them, as well as how to perform computations with them. As an application we (1) show how Hilbert modular forms can be used to solve new cases of the inverse Galois problem and (2) indicate how (a) Hilbert and (b) Siegel modular forms can be used to establish (a) strong BSD over totally real fields and (b) the BSD rank conjecture in infinitely many generic cases in dimension 2 over the rationals, respectively.

Computational aspects of Calogero-Moser spaces

• Ulrich Thiel

Neues aus der Fachgruppe

Smooth cuboids in group theory

• Mima Stanojkovski

Neue Features in Maple 2023

• Thomas Richard

Conference dinner Room: F442, F428

Self-dual matroids from canonical curves - computational challenges

• Alheydis Geiger

Verleihung des Nachwuchspreises

Algebra, geometry, and combinatorics of inscribed polytopes

• Raman Sanyal