Speaker : Husney Parvez Sarwar (IIT Kharagpur)
Date/ Time : 29th December, 11:30-12:30
Venue : Ramanujan Hall
Title : THE THIRD HOMOLOGY OF SYMPLECTIC GROUPS AND
ALGEBRAIC K-THEORY

Abstract : We improve the homology stability range for the 3rd integral
ho mology of symplectic groups over commutative local rings with infinite
residue field. As an application, we show that for local commutative rings
containing an infinite field of characteristic not 2 the symbol map from
Milnor-Witt K-theory to higher Grothendieck-Witt groups is an isomorphism
in degrees