MISANU

PROGRAM

ODELJENJE ZA MATEMATIKU
MATEMATIČKOG INSTITUTA SANU

Registracija za učešće na seminaru je dostupna na sledećem linku:
https://miteam.mi.sanu.ac.rs/asset/tz97w4Hu4c3unsJ7N.
Ukoliko ste vec registrovani predavanje možete pratiti na sledećem linku (nakon sto se ulogujete):
https://miteam.mi.sanu.ac.rs/asset/J6zEMJyMSoAbTMMX7.
Neulogovani korisnici mogu pratiti prenos predavanja na ovom linku (ali ne mogu postavljati pitanja osim putem chata i ne ulaze u evidenciju prisustva):
https://miteam.mi.sanu.ac.rs/call/T9XDGChhq8aDcNqmz/qw7wIwci2jv2rdg9I9CrXkm7OJhF_LB8DfjXZp4jTFV.

PROGRAM ZA JUN 2024.

Utorak, 04.06.2024. u 14:00, Kneza Mihaila 36, sala 301f i Online
Adam Skalski, Mathematical Institute of the Polish Academy of Sciences, Warsaw
(MAXIMAL) HAAGERUP PROPERTY FOR GROUPS AND OPERATOR ALGEBRAS
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.
Zajednički sastanak sa Odeljenjem za mehaniku.

Četvrtak, 06.06.2024. u 14:00, Kneza Mihaila 36, sala 301f i On-line
Adam Skalski, Mathematical Institute of the Polish Academy of Sciences, Warsaw
WHAT IS A GOOD DEFINITION? IN SEARCH OF QUANTUM GROUPS
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.
Zajednički sastanak sa Logičkim seminarom i Seminarom za verovatnosne logike.

Petak, 28.06.2024. u 14:15, Kneza Mihaila 36, sala 301f i On-line
Dragan Đokić, Matematički fakultet, Beograd
ŠESTI MOMENT DIRIHLEOVIH L-FUNKCIJA NAD RACIONALNIM FUNKCIJSKIM POLJIMA
Raspodela prostih brojeva je direktno uslovljena raspodelom nula, a posredno i raspodelom veličine Dirihleovih L-funkcija na kritičnoj liniji. Zato je proučavanje momenata ovih funkcija, tj. njihovih srednjih vrednosti u nekim dobro definisanim familijama jedan od ključnih ciljeva analitičke teorije brojeva. Izuzev prvih nekoliko, momenti su i dalje otvoreno pitanje povezano sa uopštenom Lindelefovom i uopštenom Rimanovom hipotezom. Sa druge strane, pomoću teorije slučajnih matrica (koja je originalno razvijena za potrebe fizike) su tek u poslednjoj deceniji XX veka izvedene hipoteze za asimptotiku momenata L-funkcija kada tzv. konduktor L-funkcije raste.
Na ovom predavanju ćemo razmotriti analogna pitanja nad racionalnim funkcijskim poljima. Predstavićemo asimptotsku formulu za šesti moment Dirihleovih L-funkcija nad ovim poljima sa dodatnim usrednjenjem koje jen motivisano Teoremom Bombijeri-Vinogradova. Dobijeni rezultat je saglasan sa hipotezama iz teorije sluchajnih matrica i predstavlja analog rezultata Konri-Ivanjec-Saudararadžana nad poljem racionalnih brojeva.

Petak, 28.06.2024. u 16:15, Kneza Mihaila 36, sala 301f i On-line
Jeffrey Bergfalk, University of Barcelona
CONDENSED MATHEMATICS AND INFINITARY COMBINATORICS
Around 2019, Dustin Clausen and Peter Scholze undertook the systematic development of an approach to “doing algebra with objects carrying a topology” which they term *condensed mathematics*, work which actively continues today. After a brief introduction to this approach, we survey some of its connections to infinitary combinatorics, both via derived functor computations and set theoretic forcing. Connecting these two prongs in turn is an analysis of Whitehead’s problem (does Ext(A,Z)=0 imply that A is free?) in the setting of condensed abelian groups. This work is joint with Chris Lambie-Hanson and Jan Saroch.
Zajednički sastanak sa Logičkim seminarom.

Odeljenje za matematiku je opsti matematicki seminar namenjen sirokoj publici. Predavanja su prilagodjena matematicarima i onima koji zele da to postanu.

Zoran Petrić, Odeljenje za matematiku Matematickog instituta SANU