Naredni sastanak Seminara biće održan u petak, 13. decembra 2024. godine, u sali 301f Matematičkog instituta SANU sa početkom u 14.15.

Predavač: Stephan Klaus, Mathematisches Forschungsinstitut Oberwolfach

Naslov predavanja: CONFIGURATION SPACES IN PROBABILITY THEORY, TOPOLOGY AND MATHEMATICAL PHYSICS

Apstrakt: Consider a subset M of the n-dimensional Euclidean space, for example an embedded smooth manifold. A k-sample from M is given by (randomly) choosing k points on M, where the order can be part of the data or not. Moreover, repetitions can be allowed or not. This defines 4 types of spaces of all possible k-samples from M. These spaces have an induced topology and are playing prominent roles also in other branches of mathematics, such as topology and mathematical physics. We give a report on the basic facts for the topology of these space. In particular, the limit space RM is very interesting in topology (if k tends to infinity, repetitions allowed, no order). Here R is a commutative ring which can be interpreted as a „particle charge“ on the sample points.

Napomena:
Predavanje se može pratiti na daljinu preko linka Odeljenja za matematiku: https://miteam.mi.sanu.ac.rs/asset/WbsehnSL4ZeTPJo6r