Group Duality

Type: 
PhD Student Seminar
Audience: 
Open to the Public
Building: 
Zrinyi u. 14
Room: 
310/A
Wednesday, October 29, 2014 - 2:00pm
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Date: 
Wednesday, October 29, 2014 - 2:00pm

Abstract: I briefly explore the mathematical concept of duality and
how it is fundamental in our algebraic thinking. Then I survey one
particular instance of duality in the character theory of finite
groups: the relation of irreducible characters and conjugacy classes.
This viewpoint of duality gives us a way to turn results upside down,
I will show examples of this.
Then I describe one potential way to extend this kind of duality to a
structurally stronger one and how this project is limited. The talk
will be based on two papers:
Andrus, Ivan; Hegedüs Pál: Determination of conjugacy class sizes from
products of characters,  Archiv der Mathematik (Basel) 100 no.1.
(2013) 1-6.
Andrus, Ivan; Hegedüs Pál; Okuyama, Tetsuro: Transposable Character
Tables, Dual Groups,  Math Proc Cambridge Phil Soc 157 no 1. (2014)
31-44.

You can watch this lecture here:

https://www.youtube.com/watch?v=_tePvpVHOqQ&index=2&list=PL_0phSnA7tyQJD...