The purpose of the Arbeitsgemeinschaft was to study the paper of Calegari-Dimitrov-Tang on arithmetic holonomy bounds and their applications to irrationality, and most centrally the proof of the $\mathbb{Q}$-linear ...

Combinatorics is a thriving branch of Mathematics with strong links to other areas of Mathematics and the sciences. Many of the modern techniques employed in Combinatorics draw on diverse ideas from Probability, Analysis, ...

The workshop focused on recent developments in complex geometry, several complex variables, and holomorphic dynamics. The topics of the talks included complex Monge-Ampère and Hessian equations, pluripotential theory and ...

Enumerative Combinatorics focuses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to several disciplines, including probability theory, geometry, algebra, statistical physics, computer ...

The workshop Geometrie was well attended with 47 in-person and two virtual participants whose interests covered a considerable part of current research in Differential Geometry. We had talks in such diverse subjects as ...

Rooted in number theory, this workshop combines recent methodological advances in a variety of adjacent fields including automorphic representation theory, ergodic theory, Fourier analysis and algebraic geometry. It focuses ...

Symmetries in the form of actions of groups and Lie algebras have been an important tool for the analysis of physical systems for a very long time. It has been realized only relatively recently that quantum field theories ...

A digital twin (DT) is a computational model that evolves over time to persistently represent the structure, behavior, and context of a unique physical system or process. DTs are characterized by a dynamic and continuous ...

The workshop "Model Theory and Arithmetic'' brought together communities working in model theory (a subfield of mathematical logic) and in number theory, in particular arithmetic geometry. There has been a flurry of new ...

The workshop explored recent developments and clarified relationships between multiple zeta values (MZVs) and modular forms. Central themes included algebraic and linear relations among MZVs and their $q$-analogues, the ...