The invariant Hilbert scheme of Alexeev and Brion
Time and place
1 PM on Thursday, October 29th, 2009; NAC 6/113
Prof. Bart Van Steirteghem (Medgar Evers College)
Abstract
This talk will be about two related objects introduced by V. Alexeev and M. Brion with a view to classifying affine algebraic varieties equipped with an action of a complex reductive group G.
The objects bring geometry to the following natural question: to what extent does the G-module structure of the coordinate ring of an affine G-variety determine its algebra structure?
I will introduce both objects with several elementary examples and will briefly mention a family of examples S. Papadakis and I recently obtained.