DMS Algebra Seminar

Speaker: Anirban Bhaduri (University of South Carolina)

Title: Orlov Spectrum for Weighted Projective Line

Abstract: One way to measure the complexity of a triangulated category is through its Orlov spectrum, defined as the set of all possible generation times of strong generators. There are very few cases where the Orlov spectrum has been explicitly computed; one example is the bounded derived category of coherent sheaves on the projective line over a field. In this talk, we discuss explicit generation times for certain strong generators and establish bounds for others, thereby fully determining the Orlov spectrum of the weighted projective line of type (2) over a field. We also explore possible generalization to the case of weighted Projective line of type (n).

This talk is based on a joint work with Matthew Ballard.