# Smooth invariants and isolated quotient singularities

`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`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.

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

Meeting ID: 878 5613 2062

Last Updated Date : 29/12/2023