Algebraic $K$-theory is a generalization of linear algebra to rings and to geometric objects, leading to numerous applications across various mathematical fields. It plays a crucial role in number theory, algebraic and ...

This Oberwolfach Arbeitsgemeinschaft focuses on the mathematical analysis of quantum many-body systems. Of particular interest is the ground state energy of dilute quantum gases, either fermions or bosons, and its low-density ...

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 ...

The subject of operator algebras is a very active area of mathematics which, since its inception in the 1940s, has always been driven by interactions with other fields of mathematics and physics. The scope of these ...

The main theme of the workshop was the use of probabilistic methods in combinatorics and related fields. This area is evolving extremely quickly, with the introduction of powerful new methods and the development of ...

This was the ninth Oberwolfach Workshop on Computational Group Theory. It demonstrated the deep and interesting interactions between theoretical results and powerful practical algorithms in Computational Group Theory. ...

The science of cryptography lies at the very foundations of trust in current and future systems and devices for communication and computation. For example, secure communications over the internet today are possible thanks ...

This workshop brought together researchers working in various areas of differential geometry, with an emphasis on problems that connect local geometric analysis with global structure and topology. Talks covered a broad ...

The workshop brought together experts investigating algebraic Lie theory from the categorical, combinatorial, geometric and noncommutative viewpoints. In general, the talks during the workshop focused on structural results ...

AI is currently the central theme in science. Whereas the underlying algorithms rely on rather simple mathematical operations such as matrix-vector multiplications and applying non-linearities componentwise, deriving a ...