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Orbit-finite System of Linear Equations

Prelegent(ci)
Arka Ghosh
Afiliacja
MIM UW
Termin
8 grudnia 2021 14:15
Informacje na temat wydarzenia
Online
Tytuł w języku angielskim
Joint work with P.Hofman and S.Lasota
Seminarium
Seminarium „Teoria automatów”

An orbit-finite system of linear equations is a system of linear equations where the equations and the variables used in them are possibly infinite but are finite up to certain symmetries. I will start with a brief description of atoms and orbit-finite sets. Then I will define vector spaces over orbit-finite sets and try to show using an example why these have orbit-finite bases. In the end, I will define orbit-finite systems of linear equations and discuss our recent results regarding them.