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 SEPTEMBAR 2022.

PETAK, 02.09.2022. u 14:15, Kneza Mihaila 36, sala 301f i On-line
Semra Pamuk, Middle East Technical University, Türkiye
ON SYMMETRIES OF FOUR MANIFOLDS
One often studies a mathematical object by studying its symmetries. For example a torus has less symmetries than a sphere. Rigorously, symmetries are expressed through group actions. In this talk, I will give some old and new information about the existence of finite group actions on closed, connected, orientable 4-manifolds. In this dimension, the comparison between smooth and topological group actions are interesting but our focus will be on locally linear topological actions. More precisely, we will try to answer the following question: Given a closed, orientable 4-manifold M, what is the maximum value of rank(G) over all finite groups G which acts effectively, locally linearly, homologically trivially on M?
This is a joint work with Ian Hambleton.

PETAK, 09.09.2022. u 14:15, Kneza Mihaila 36, sala 301f i On-line
Tane Vergili, Karadeniz Technical University, Department of Mathematics, Trabzon, Türkiye
TOPOLOGICAL DATA ANALYSIS AND PERSISTENT HOMOLOGY
Consider a finite set of points in a Euclidean space. Technically speaking, this would imply that we have a data set. Then what can we do to understand and analyze this data? The first approach that comes to mind is assigning this set a topological structure and a corresponding algebraic structure related to its topology. This could actually work. In fact, there is already a topology on this set, which is obviously a discrete topology. However, it is not that interesting to work in a discrete space: for each data set, we would have the same topology and we would get the same observations and comprehension for each data set. So how is analysis possible? Is there a systematic way to analyze and understand the data?
There is, of course, an answer to this question. Topological data analysis (TDA) is one of the most popular disciplines among topologists, as well as statisticians, algebraists, and data analysts. In this talk, we will begin by briefly summarizing simplicial complexes and simplicial homology, the former assigns topology to a data set and the latter assigns algebraic structure to that topological space. Then, we will make a brief yet fascinating foray into the field of TDA.

PETAK, 16.09.2022. u 14:15, Kneza Mihaila 36, sala 301f i On-line
Karl Sigmund, Faculty for Mathematics, University of Vienna
MATHEMATICIANS IN THE VIENNA CIRCLE
The Vienna Circle was mostly a group of mathematicians and philosophers meeting regularly from 1924 to 1936. This talk will be about the mathematical part, essentially three persons:

Hans Hahn, one of the pioneers of functional analysis, was the true founder of the Vienna Circle.
Karl Menger, the son of the economist Carl Menger, was a topologist, and instrumental in developing dimension theory. He had also a part in the origins of game theory.
Kurt Gödel did pathbreaking work in mathematical logic and set theory.

Zajednički sastanak sa Logičkim seminarom.

Obavezno je nošenje maski i održavanje distance. Broj prisutnih na predavanju ograničen na najviše 10 (uključujući i predavača).

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

Zoran Petric, Odeljenje za matematiku Matematickog instituta SANU