The classical isoperimetric inequality in Euclidean space Rⁿ states that among all sets of prescribed volume, the Euclidean ball (uniquely) minimizes surface area, explaining why a single soap bubble is always a round sphere. One may similarly consider isoperimetric problems in more general spaces, such as in the n-sphere Sⁿ and in n-dimensional Gaussian space Gⁿ (i.e. Rⁿ endowed with the standard...

The Hungarian discrete mathematician László Lovász, renowned for his groundbreaking work in graph theory, combinatorics, and computer science, is a former president of the International Mathematical Union and a recipient of both the Wolf Prize and the Abel Prize. In his talk, he will explain the discovery of intriguing connections between combinatorial and analytic approaches to submodularity.

Quiz-Fans und Science-Enthusiast*innen aufgepasst! Auch 2026 laden die Berliner Exzellenzcluster wieder zum „Exzellenten Pub Quiz“ bei der „Langen Nacht der Wissenschaften“ ein – mit spannenden, lustigen und überraschenden Fragen aus ihren vielfältigen Forschungsbereichen. Stellt ein Team (2–4 Personen) mit kreativem Teamnamen zusammen, diskutiert und rätselt mit!

In this talk (Kovalevskaya Colloquium), Victoria Hoskins will introduce moduli of representations of quivers and outline some connections with representation theory, before explaining recent progress for quivers with multiplicities and highlighting various interesting open problems. This is based on joint work with E. Hamilton, J. Jackson and T. Vernet.

The Crelle journal, founded in 1826, has been closely linked to the University of Berlin and the Berlin Academy of Sciences and Humanities. The conference will focus on recent development of prominent moduli spaces in mathematics, starting from moduli space of curves, introduced by Bernhard Riemann in 1857 in his paper "Theorie der Abelschen Functionen," published in Crelle's journal.

In this talk, Hermiller will discuss three conjectures, each aimed at simplifying the task of computing unknotting numbers. She will describe how her resolution of one of these conjectures several years ago, in joint work with Mark Brittenham, led them recently to resolve another – the (non)additivity of unknotting number under connected sum.