The Strong Maximal Rank Conjecture and higher-rank Brill-Noether theory

Speaker: Ethan Cotterill, UFF.

Date: 05 nov 2019, 14h.

Place: Room 407, Bloco H, Campus Gragoatá, UFF.

Abstract: We compute the cohomology class of certain “special maximal-rank loci” originally defined by Aprodu and Farkas. By showing the non-triviality of such classes, we are able to verify the non-emptiness portion of the Strong Maximal Rank conjecture for a wide range of cases. As an application, we obtain new results for the existence portion of a well-known conjecture due to Bertram, Feinberg and independently Mukai in higher-rank Brill- Noether theory.