Parvez Sarwar

We will discuss a homology stability problem for groups. Then we will 

present a result which improves the homology stability for symplectic groups.

This result has an application to Hermitian K-theory. Precisely, we prove a 

Hermitian analog of generalized Matsumoto's theorem for local rings with infinite

residue field. This result was earlier proved by Asok--Fasel for infinite perfect field

using A^1-homotopy theory. This is a joint work with Marco Schlichting.