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Rationality of finite groups: groups with low-in-index fields of values
Il 17 gennaio2023, alle 4:30 pm (CET), nel quadro della serie di seminari Insalate di Matematica, in aula u3-05 e in diretta streaming, Marco Vergani (Università degli Studi di Firenze) parlerà di
Title: "Rationality of finite groups: groups with low-in-index fields of values"
Abstract: The interplay between groups and fields has been subject of study for centuries. With the rise of representation theory we were able to consider groups as acting over vector spaces in a natural way, creating a new possible connection that relates the irreducibile actions to the field generated by the trace of the representation. Those fields give us a lot of information about the group itself. In this seminar we will focus on groups with field of values that are quadratic extensions of the rationals and we will define tools that allow us to detect how far the group is from a rational action.
Keywords: Finite groups, representation theory, quasi-rational groups, cut groups,Gruenberg-Kegel graph.
Information to attend in room 3014
The seminar will take place in room 3014, at the building U5-Ratio, Università degli Studi di Milano Bicocca.
Information to attend online
(password: insalate, 46725283 from phones)
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