100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Parvez Sarwar

Homology stability and its application to Hermitian K-theory
Lundi, 12 Novembre, 2018 - 14:00
Résumé : 
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.  
Institution de l'orateur : 
Warwick
Thème de recherche : 
Algèbre et géométries
Salle : 
4
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