Description
Algebraic geometry seminar.
Speaker: Chandranandan Gangopadhyay.
Affiliation: The Institute of Mathematical Sciences, Chennai.
Date and Time: Wednesday 13 November, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: Quot schemes and Semistable Vector Bundles.
Abstract: Let C be a smooth projective curve over an algebraically closed
field k. Fix r, d ≥ 1. Let Q(r, d)
be the quot scheme parametrizing degree d torsion quotients of the trivial
vector bundle of rank r. Then we show that the universal
kernel bundle over C × Q(r, d) and its pushforward to Q(r, d) are stable
with respect to certain
natural ample bundles over C × Q(r, d) and Q(r, d) respectively.