# News & Events

## Seminar by Abhay Soman

Date/Time:
Monday, November 4, 2019 - 11:35 to 12:35
Venue:
Seminar Room, School of Mathematical Sciences
Speaker:
Abhay Soman
Affiliation:
ISI Bangalore
Title:
On triviality of the reduced Whitehead group
Let $D$ be a central division algebra over a field $E$. Denote by $D^*$ the nonzero elements of $D$. The reduced Whitehead group of $D$, $SK_1(D):=\{x\in D:{\rm Nrd}_D(x)=1 \}\big/[D^*,D^*]$. Aim of the talk is to show triviality of this group over certain Henselian valued fields of cohomological dimension at most $3$. This talk is based on my recent publication.