Title: Relation between orbit spaces of unimodular elements and improved stability bound
Speaker: Pratyusha Chattopadhyay (ISI Bengaluru)
Date: 05 May 2016
Time: 3:30 pm
This is a topic in classical algebraic K-Theory. I will recall definitions of elementary linear group, elementary symplectic group, linear transvection group, and symplectic transvection group. These group= s have natural action on the set of unimodular elements. I will briefly discuss how bijections between orbit spaces of unimodular elements under different group actions are established. Finally, I will talk about an application of these results, namely improving injective stability bound for the K1 group.