Seminario Teoría de Grupos
Beyond Brauer`s Height Zero Conjecture
Ponente: Alexander Moretó (Universidad de Valencia)Fecha: miércoles 04 de diciembre de 2024 - 11:30Lugar: Aula Gris 2, ICMAT
Resumen:
Brauer's height zero conjecture asserts that all the irreducible characters in a Brauer p-block have height zero if and only if the defect group of the block is abelian. The proof of the famous height zero conjecture of Brauer was finally completed in 2022. I will introduce the basic concepts of block theory, discuss several extensions of this conjecture and recent progress on them. This talk is based on work of Gunter Malle, Noelia Rizo, Mandi Schaeffer Fry and the speaker, along with various combinations of the four of us.