Prva predavanja u ediciji „Lekcije Ruđera Boškovića” na Matematičkom institutu SANU održaće dr Adam Skalski sa Matematičkog instituta Poljske akademije nauka 4. i 6. juna 2024. u sali 301f sa početkom u 14 časpva.
Utorak, 4. jun 2024, 14 časova
Naslov predavanja: (MAXIMAL) HAAGERUP PROPERTY FOR GROUPS AND OPERATOR ALGEBRAS
Apstrakt: The talk will be divided into two parts: the first will have an introductory character: we will discuss how one associates to a discrete group a von Neumann algebra, and explain how the approximation properties for a discrete group (such as say amenability or the Haagerup property) can be reflected via the properties of the algebra in question. We will also spend some time explaining the origins and motivations behind the study of approximation properties of operator algebras, focusing on the Haagerup property. In the second part of the talk we will present some results regarding concrete examples of maximal Haagerup subgroups and von Neumann subalgebras, obtained in joint work with Yongle Jiang.
Četvrtak, 6. jun 2024, 14 časova
Naslov predavanja: WHAT IS A GOOD DEFINITION? IN SEARCH OF QUANTUM GROUPS
Apstrakt: Definitions form a fundamental part of the mathematical study. I will discuss the requirements that mathematicians put on `good`; definitions and explain how such definitions develop, based on the notion of a locally compact quantum group, originating in 1970s and 1980s, and reaching a (possibly?) final form in the work of Kustermans and Vaes in 2000. Later developments will also be mentioned, but in general the talk will be accessible to general mathematical audience.
Biografija predavača:
Adam Skalski (https://www.impan.pl/~skalski/index.html) je jedan od najznačajnijih savremenih poljskih matematičara koji radi u oblastima geometrijske teorije grupa, operatornih algebri, kvantnih grupa i nekomutativne teorije mere. Diplomirao je 2000. na Univerzitetu u Lođu i doktorirao je 2006. na Univerzitetu u Notingemu. Autor je preko sto naučnih publikacija i dobitnik nekoliko prestižnih stipendija i nagrada za naučni rad. Aktuelni je predsednik asocijacije evropskih istraživačkih centara za matematiku (ERCOM).
Napomena: Predavanja se mogu pratiti na daljinu putem linka:
https://miteam.mi.sanu.ac.rs/asset/WbsehnSL4ZeTPJo6r
