Smooth invariants and isolated quotient singularities

Seminar
Algebra
Speaker
Amiram Braun (Haifa University)
Date
17/01/2024 - 11:30 - 10:30Add to Calendar 2024-01-17 10:30:30 2024-01-17 11:30:00 Smooth invariants and isolated quotient singularities Let G<GL(V) be a finite group, and let V be a finite-dimensional vector space over a field F.  Then G acts as a group of automorphisms on S(V) ,the symmetric algebra of V. We shall consider the following question: When is S(V)^G, the subring of G- invariants, a polynomial ring?  This had been completely settled by Shephard-Todd- Chevalley-Serre, if (char F,|G|)=1,and is still open otherwise.   We shall describe our recent solution to this problem for G< SL(V). As an application we shall present the connection between isolated quotient singularities S(V)^G, when char F > 0, and their complex counterparts. ================================================ https://us02web.zoom.us/j/87856132062 Meeting ID: 878 5613 2062 Third floor seminar room, Mathematics building, and on Zoom. See link below. אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room, Mathematics building, and on Zoom. See link below.
Abstract

Let G<GL(V) be a finite group, and let V be a finite-dimensional vector space over a field F.  Then G acts as a group of automorphisms on S(V) ,the symmetric algebra of V.

We shall consider the following question: When is S(V)^G, the subring of G- invariants, a polynomial ring?  This had been completely settled by Shephard-Todd- Chevalley-Serre, if (char F,|G|)=1,and is still open otherwise.
 
We shall describe our recent solution to this problem for G< SL(V).

As an application we shall present the connection between isolated quotient singularities S(V)^G, when char F > 0, and their complex counterparts.

================================================

https://us02web.zoom.us/j/87856132062

Meeting ID: 878 5613 2062

Last Updated Date : 29/12/2023