Logo

Mathematical Sciences Research Institute

Home » Workshop » Schedules » Aspects of the cohomology ring of the moduli space of torsion-free sheaves on an irreducible nodal curve

Aspects of the cohomology ring of the moduli space of torsion-free sheaves on an irreducible nodal curve

Holomorphic Differentials in Mathematics and Physics November 18, 2019 - November 22, 2019

November 20, 2019 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Inder Kaur (Institute of Pure and Applied Mathematics (IMPA))
Location: MSRI: Simons Auditorium
Video
No Video Uploaded
Abstract

Let M (2, L) denote the moduli space of stable vector bundles of rank 2 and determinant L of odd degree, on a smooth curve of genus g ≥ 2. Owing to the work of Mumford, Newstead, Thaddeus, King, Kirwan and several others, questions such as the generators and relations, higher rank Torelli-type theorems as well as the Hodge conjecture for the cohomology ring of M (2, L) are well understood. In this talk I will survey some of these aspects for the smooth case and discuss analogous results for the case when the underlying curve is irreducible, nodal. This is joint work with S. Basu and A. Dan.

Supplements No Notes/Supplements Uploaded
Video/Audio Files
No Video Files Uploaded