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Wilhelm Killing Kolloquium: Prof. Dr. Artem Chernikov (University of California/Los Angeles): per ZOOM: Recognizing groups and fields in Erd?s geometry and model theory

Thursday, 17.06.2021 16:30 per ZOOM: Link to Zoom info

Mathematik und Informatik

Erdös-style geometry is concerned with combinatorial questions about simple geometric objects, such as counting incidences between finite sets of points, lines, etc. These questions can be typically presented as asking for the possible number of intersections of a given (semi-)algebraic variety with large finite grids of points. An important theorem of Elekes and Szabó indicates that certain extremal asymptotic behaviors can only occur for varieties closely connected to certain algebraic structures, such as groups or fields. It turns out that techniques from model theory are very useful in recognizing these algebraic structures, and allow to obtain higher arity and dimension generalizations of the Elekes-Szabó theorem. I will overview this active area and present some recent results from joint work with Abdul Basit, Kobi Peterzil, Sergei Starchenko, Terence Tao and Chieu-Minh Tran.



Angelegt am Tuesday, 30.03.2021 14:24 von mathsekr
Geändert am Thursday, 20.05.2021 09:46 von mathsekr
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Kolloquium Wilhelm Killing