Date/Time
Date(s) - 21/10/2025
11:30 am - 12:30 pm

Location: HH 312

Title: Mutations of Exceptional Collections on Projective Varieties

Speaker: Mahrud Sayrafi (McMaster)

Abstract: Utilizing recent joint work with Michael Brown, Souvik Dey, and Guanyu Li on computing extensions of bounded complexes of coherent sheaves on projective varieties, we present several applications involving computations in D^b(X), including manipulations of exceptional collections consisting of complexes and computing explicit monads based on them. We will also discuss related problems and conjectures from Helix theory in triangulated categories, particularly D^b(P^n).