Geometry and Topology seminar
Speaker: Pritthijit Biswas, IIT Bombay
Host: Rekha Santhanam
Title: Brill-Noether loci inside the moduli space of stable vector bundles over curves
Time, day and date: 11:30:00 AM - 12:30:00 PM, Thursday, October 16
Venue: Ramanujan Hall
Abstract: Let X be a smooth projective curve of genus g over the field C. Let M_{X}(2, L)denote the moduli space of stable rank 2 vector bundles on X with fixed determinant L of degree 2g-1. Consider the Brill-Noether subvariety W ^{1}_{X} (2, L) of M_{X} (2, L) which parametrises stable vector bundles having at least two linearly independent global sections. In this talk, for generic X and L, I would outline a proof of the fact that W ^{1}_{X} (2, L) is stably-rational when g = 3 and unirational when g = 4. This is a part of joint work with Jaya NN Iyer.