Al@Bicocca Seminar: Marco Vergani

Rationality of finite groups: groups with quadratic fields of values
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algebra in bicocca

Wednesday 26 March 2025 at 2 pm, as part of the Al@Bicocca seminar cycle, Marco Vergani (University of Florence) will give the following talk

Title: Rationality of finite groups: groups with quadratic fields of values

Abstract: The main topic of this seminar is families of groups that have a characterization of their integral central units inside the rational group algebra. Using representation theory it is possible to consider groups as acting over vector spaces in a natural way, relating the irreducible 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.

Information to attend

The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online by this link

Document

For more information, visit the website

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