Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Curves Seminar


Wednesday, February 12th, 2020

Time: 4:30-5:30 p.m Place: Jeffery Hall 319

Speaker: Mike Roth (Queen's University)

Title: Lazarsfeld-Mukai bundles.

Abstract: The talk will cover the construction of a particular kind of vector bundle on a K3 surface, obtained by starting with a $g^{1}_{d}$ on a curve on that surface.

This vector bundle construction appeared in Lazarsfeld’s proof of the Petri conjecture, but has also been one of the main starting points for investigating Green’s conjecture. In particular, it will be used in future lectures giving a recent proof due to Kemeny of Green’s conjecture for generic curves of even genus.