In this talk, Jessica Fintzen will introduce p-adic numbers and p-adic groups and then provide an overview of what we know about the representations of these groups including recent developments. This means she will explain how close we are to answering the key question above. She might also sketch applications to other questions in mathematics.

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.

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, we focus on understanding the problem of ranking from both an informational perspective – characterising the fundamental statistical thresholds for optimal estimation – and a computational one – characterising the fundamental limits of computationally efficient estimation. A core question for these problems is whether statistical optimality is compatible with computational efficiency...

Die Freie Universität Berlin lädt am 25. April zum 29. Tag der Berliner Mathematik ein. Schüler*innen, Lehrer*innen und alle an Zahlen interessierte Bürger*innen können dort in die Welt der Mathematik eintauchen.

Mathematical research is thrilling and beautiful—but also sometimes frustrating and overwhelming. Is getting stuck normal? Does everyone else really make constant progress? Join a candid talk with Gavril Farkas, Andrea Walther, and Alexandra Wesolek on coping with dead ends, setbacks, and the long, often lonely road in mathematical research.