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Friday, August 26, 2016 - 09:35 to 10:30
SMS seminar hall
Pratyusha Chattopadhyay
Indian Statistical Institute - Bangalore
Relation between orbit spaces of unimodular elements and its application

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 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 K1 group.

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