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The Algebraic Combinatorics Seminar

September 30, 2022 @ 4:00 pm - 6:00 pm

The Buzz about BHZ: The Life and Times of Brauer’s Height Zero Conjecture
Mandi Schaeffer Fry
Metropolitan State University of Denver

In 1955, Richard Brauer, often regarded as the founder of modular
representation theory, made one of the first of the so-called
“local-global”
conjectures in character theory and opened the door to an entire area of
research. I’ll discuss the background of this conjecture and its recent
proof, which is joint work with G. Malle, G. Navarro, and P.H. Tiep.

Bounding Character Values at Regular Semisimple Elements
Jay Taylor
University of Manchester

If $\chi:G\to \mathbb{C}$ is an irreducible character of a finite group $G$
then one can ask how large the absolute value $|\chi(g)|\in \mathbb{R}$ at a
given element $g\in G$ is. Typically one wants to obtain some $C\in
\mathbb{R}$ such that the bound $\chi(g)\le C$ holds as $g$ varies over a
suitable subset of elements. In this talk we’ll try to explain why this
question is important and discuss recent joint with P. H. Tiep and M. Larsen
obtaining new bounds in the case where $G$ is a finite reductive group and
the element $g$ is regular semisimple.

Details

Date:
September 30, 2022
Time:
4:00 pm - 6:00 pm

Venue

Weber 223

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