The field of Linear Algebraic Groups is still a very active research area in contemporary mathematics. It has rich connections to algebraic geometry, representation theory, algebraic combinatorics, number theory, algebraic ...

One of the fundamental properties of automorphic forms is that their periods - integrals against certain distinguished cycles or distributions - give special values of $L$-functions. The Langlands program posits that ...

Cohomology theories have long proven to be powerful, unifying tools in numerous areas of mathematics, specifically in algebra, geometry, and number theory. Historically, the invention of the "right" cohomology theory ...

Computations with functions depending on a large numbers of variables are at the core of many problems in science and engineering. They arise naturally in physical models described by partial differential equations (PDEs) ...

Many scientific and engineering problems exhibit complex interactions over a wide range of inseparable scales in space and time. Direct numerical simulations to solve such multiscale problems are often beyond current ...

Data assimilation, where predictions from a dynamical system are updated sequentially based on new and incomplete observations, is increasingly finding applications in many areas of science and technology. This workshop ...

This workshop was part of the long-standing biannual series on Dynamical Systems at Oberwolfach, which began in 1981 with a meeting organized by Moser and Zehnder. It focused on recent advances and developments in dynamical ...

The Classification of Finite Simple Groups (CFSG) is considered to be one of the most important results of modern mathematics, and has led to many applications both inside and outside group theory. The theory of fusion ...

The general subject of the conference was geometric group theory, that is the study of groups via suitable actions on spaces endowed with additional structures, for instance a distance, a measure (class), or both of them ...

The goal of this workshop was to explore the recent advances in the mathematical understanding of the macroscopic properties which emerge on large space-time scales from interacting microscopic particle systems. The ...