Description
Speaker: Parvez Sarwar
Title: Algebraic K-theory and homology stability
Time: 15:30 - 16:30, Thursday, October 18
Venue: Ramanujan Hall
Abstract: We shall begin with the homotopy invariance property of
K-theory. After reviewing monoids and monoid algebras, we present some
results which are monoid version of the homotopy invariance property in
K-theory. This answers a question of Gubeladze. Next, we will discuss the
monoid version of Weibel's vanishing conjecture and some results in this
direction. Finally, we will talk about the homology stability for groups.
Here we present a result which improves homology stability for symplectic
groups. If the time permits, some application of the homology stability
will be given to the hermitian K-theory.