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Seminar
Speaker
Arjun Paul (Indian Institute of Technology Bombay)
Date & Time
Tue, 29 September 2020, 15:30 to 17:00
Venue
Online seminar
Resources
Abstract

Varieties or more generally schemes defined over a field play important roles in algebraic geometry. In contrast to manifold topology, varieties are naturally endowed with Zariski topology, which are somehow quite smaller compared to manifold topologies, but still most of the time, they are good enough to work in algebraic situations. In SGA1, Grothendieck introduced the notion of étale fundamental group as a substitute of topological fundamental group for algebraic varieties. In later times, many people have developed more and more general kinds of fundamental groups, which are usually group schemes, and reflect interesting geometries of the ambient varieties. The Hilbert scheme  of   points on a smooth projective surface   defined over an algebraically closed field   is one of the important and well studied varieties in algebraic geometry. In a joint work with Ronnie Sebastian, we find the  -fundamental group scheme and Nori's fundamental group scheme of the Hilbert scheme . In this talk, we discuss along this direction.

Please click on the link: https://zoom.us/j/97697283498?pwd=Sy9tb0VhT29YeDNlMDE1YlZRL1JHQT09 to join the Zoom meeting
Meeting ID: 976 9728 3498
Passcode: 085868