RTG 2965 - From Geometry to numbers

The Institute of Algebraic Geometry coordinates the Research Training Group (RTG) 2965 "From Geometry to Numbers: Moduli, Hodge Theory, Rational Points" (funded by the DFG), in collaboration with the Institute of Algebra, Number Theory and Discrete Mathematics (LUH) and the Institute of Mathematics of the Humboldt-Universität zu Berlin. The program started on October 1, 2024, and runs its first phase through September 30, 2029.

The RTG focuses on the fascinating connections between geometry and numbers. The goal is to uncover, describe, and understand new geometric objects and shapes that cannot be visualized — often neither by humans nor by computers. These shapes are frequently described by algebraic equations, some of which play an important role in theoretical physics. Even if the algebraic equations appear simple, the important geometric properties of the corresponding solution sets are often unknown. The goal of the RTG is to understand these solution sets and reveal the beautiful underlying geometry. An important principle is the idea that one can associate numerical invariants to geometric objects, for instance via counting points or special curves, by topological and Hodge theoretic means, or via combinatorial and moduli theoretical approaches.

Leading this initiative are Prof. Dr. Stefan Schreieder from LUH (speaker) and Prof. Dr. Gavril Farkas from HU Berlin (co-speaker). At LUH, five researchers from two institutes are involved: Prof. Dr. Michael Cuntz (IAZD), Prof. Dr. Ulrich Derenthal (IAZD), Prof. Dr. Stefan Schreieder (IAG), Prof. Dr. Matthias Schütt (IAG), and Jun.-Prof. Dr. Isabel Stenger (IAG).

More information about the activities of the GRK (Lectures, Seminars, Colloquia and Summer schools) can be found at https://sites.google.com/view/rtg-2965 .