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 ...

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 ...

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 workshop "Mathematical Advances in Geophysical Fluid Dynamics" addressed recent advances in modeling, analytical, computational and stochastical studies of geophysical models. In particular addressed are atmosphere-, ...

Quantum chemistry focuses on modelling and simulating the behaviour of molecular systems using the fundamental principles of quantum mechanics. However, the underlying equations, such as the Schrödinger equation for computing ...

The joint workshop brought together leading experts from real algebraic geometry, computational algebra, polynomial optimization, and theoretical computer science. The event fostered vibrant interdisciplinary exchange, ...

Hardy inequalities play a fundamental role in various fields, such as mathematical physics, operator theory, the analysis of partial differential equations, potential theory, and probability theory. The goal of this ...

This Oberwolfach mini-workshop gathered mathematicians with an expertise in loop spaces, in order to discuss recent breakthrough results in this field, and the implications of these. A particular focus was given on recent ...