Bonn Topology Group - Abstracts
General Information - Members - Activities - Topology Seminar
Talk
January 14th 2020
Richard Hepworth (University of Aberdeen, UK): Homological stability for algebras
Abstract
Homological stability is a property of sequences of groups, and states roughly that the groups are increasingly similar the further you go along the sequence.
But the homology of a group can be interpreted in a purely algebraic way, as the Tor groups of the group ring.
This means that one can try to prove homological stability for arbitrary sequences of augmented algebras, rather than just for sequences of groups.
In this talk I will show how this works out in the case of the Iwahori-Hecke algebras, which are deformations of the group ring of the symmetric group,
and play an important role in representation theory, knot theory and combinatorics.
The talk will be pitched for topologists, so in particular I will introduce the Iwahori-Hecke algebras in detail.
Back to seminar page
News
Jessica Fintzen wins Cole Prize
Dr. Regula Krapf receives university teaching award
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society