This is a topic in classical algebraic K-Theory. I will recall definitions of elementary linear group, elementary symplectic group, linear transvection group, symplectic transvection group and symplectic group w.r.t. any alternating form. These groups have natural action on the set of unimodular elements. I will briefly discuss how bijections between orbits of unimodular elements under different group actions are established. Finally, I will talk about applications of these results, namely improving injective stability bound for K1 group.
Date and Time : 30-03-2017 13:45
Venue : Seminar Hall, 219 @ CET
Speaker : Pratyusha Chattopadhyay, ISI Bangalore