The goal of the semester is to bring together prominent scientists of the field to discuss the frontline of research and to introduce the next generation of researchers to the wide range of ideas and methods of contemporary probability and mathematical statistical physics.

The primary theme of this special research semester is to explore recent advancements in the theory of complex manifolds, with a focus on both Kählerian and non-Kählerian cases.

The semester will focus on the intersections between modern harmonic analysis, number theory as well as arithmetic and geometric Ramsey theory, which are still evolving.

The thematic semester will center on various aspects of the theory of moduli spaces, that is, parameter spaces in algebraic geometry.

The main goal of the thematic semester is to study and advance powerful new techniques related to ordered structures.