Abstract: Coadjoint orbits are orbits for the action of a Lie group on the dual of its Lie algebra. They carry a natural symplectic structure and are models for homogeneous systems in classical mechanics. Gibbs measures on these orbits provide a natural setting for models of thermodynamic systems. We say that a coadjoint orbit carries a Gibbs ensemble if the set of all $x$, for which the function $\alpha \mapsto e^{-\alpha(x)}$ on the orbit is…

Title: Hamiltonicity in acyclic orientation graphs Abstract: Given a graph G, we are interested in enumerating all possible acyclic orientations of G by use of a Gray code, i.e. an enumeration where the change between two subsequent elements is small in some sense. In the case of graph orientation, this small change is an edge flip. This can be modelled through the corresponding graphic hyperplane…

Title: Point Counting on Elliptic Curves over Finite Fields Abstract: Elliptic curves over finite fields play a central role in modern number theory and cryptography. A fundamental computational problem is to determine the number of rational points on a given elliptic curve defined over a finite field, a quantity closely related to the trace of the Frobenius endomorphism. In this talk, I will present an overview of algorithms for point…

Erdös Sieves and Dynamics

Abstract: Matrix special functions of symmetric pairs (G,H) are a fruitful source of special functions. One usually studies their restrictions to an appropriate torus. They diagonalise a commutative algebra of differential operators that arises from invariant differential operators on G via the radial part decomposition. I first recap the well-known theory for Riemannian symmetric pairs (by Cartan, Harish-Chandra, and others) and then sketch…

Abstract: Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.

Abstract: Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.

On June 29, 2026 the Colloquium of the CRC-TRR 358 will take place at the Department of Mathematics, Paderborn. The speakers are Hans-Joachim Hein (University Münster) and Wolfgang Lück (University Bonn).

Abstract: Bei Interesse an einer online-Teilnahme (sei es regelmäßig oder auch nur an einem bestimmten Vortrag) bitten wir vorab mit Tobias Weich Kontakt aufzunehmen, damit der Teilnahmelink geteilt werden kann.

Abstract: This talk is related to the relative Langlands' program, which aims to extend the classical Langlands' program to spherical varieties. In the classical case, a well-known \emph{trace Paley-Wiener theorem} was given by Bernstein, Deligne and Kazhdan in 1986. It gives a characterization of the functions  $$\pi \mapsto \mathrm{Tr}(\pi(f)),$$ with $G$ a reductive $p$-adic group, and where $\pi$ ranges over isomorphism classes of smooth…