Sonstige Vorträge

Abstract: The signature of a closed manifold is an important invariant in geometric topology. Recently, Higson, Xie, and Schick proved an invariance theorem for the K-theoretic signature in codimension 2. However, the L-theoretic counterpart of this result remains an open problem. In this talk, I will describe how to achieve the L-theoretic counterpart of their result and provide some examples. I will also explain the basic ideas of the proof, highlighting the key steps and challenges involved.

Markus Stroppel will give a lecture series on advanced topics in locally compact groups. The lectures take place on Monday at 14:15 in room SR 1D They will start on Monday, November 17. The planned topics are: * the scale function and tidy subgroups * automorphism groups of trees

Detailed program: 4:00 pm (sharp): introductory talk for PhD students and postdocs by Bastián Mora 4:30 pm: coffee and tea will be served in the Cluster Lounge 5:00 pm (sharp): Colloquium-talk by Prof. Dr. Alejandro Ramirez Abstract: The KPZ universality describes fluctuations of a one dimensional interface separating a stable phase from an unstable one. This kind of behavior has been proven only for a few mathematical models, most of them "directed", meaning that paths visit points at most once. Weak KPZ universality, refers to a rescaling towards the 1+1 stochastic heat equation, for which KPZ universality is expected. We describe one of the few instances where weak KPZ universality has been established for a non-directed model: the planar stochastic heat equation with spatial white noise, corresponding to a Skorokhod interpretation of integrals. This talk is based on a joint work with Jeremy Quastel and Balint Virag.

Kac-Moody groups form an infinite-dimensional generalization of reductive groups, constructed from infinite root systems. For instance, loop groups of reductive groups are Kac-Moody groups. Whereas their behavior over finite or complex fields is very similar to the reductive setting, many constructions fall apart over p-adic or function fields. In this first talk, I will present a building theoretic approach to this problem and introduce the Kac-Moody analog to affine Weyl groups. Even though these are no longer Coxeter groups, they present combinatorial similarities which I will discuss.

Markus Stroppel will give a lecture series on advanced topics in locally compact groups. The lectures take place on Monday at 14:15 in room SR 1D They will start on Monday, November 17. The planned topics are: * the scale function and tidy subgroups * automorphism groups of trees