Description
Geometry and Topology seminar.
Speaker: Arjun Paul.
Affiliation: IIT Bombay.
Date and Time: Wednesday 26 February, 02:30 pm - 03:30 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Fundamental group schemes of Hilbert scheme of n points on
irreducible smooth projective varieties of dimension 1 and 2.
Abstract: : Let k be an algebraically closed field of characteristic p > 3. Let X be an irreducible
smooth projective k-variety of dimension d ∈ {1, 2} over k. Fix an integer n ≥ 2, and let
Hilbn
X be the Hilbert scheme parametrizing effective 0-cycles of length n on X. In this talk
we discuss on the S-fundamental group scheme and Nori’s fundamental group scheme of
Hilbn
X. This is a joint work with Ronnie Sebastian.