15:30
Deformations of schemes and derived categories
Abstract
How much does the derived ($\infty$-)category of a scheme remember? In this talk, I will consider this question in the context of deformation theory and make precise the close relationship between the deformation theory of a scheme and its derived category. Along the way, I will also introduce some basics of derived deformation theory and pay special attention to mixed and positive characteristic phenomena. This talk is based on my recent work https://arxiv.org/abs/2512.24347.
Colleagues are invited to register for the Centre for Teaching and Learning’s final two Developing Academic Skills workshops this academic year. The in-person sessions support colleagues involved in teaching or supporting undergraduate and postgraduate taught students’ academic skills development. Topics are structuring and editing (Monday 26 January), and developing exam and revision skills (Monday 23 February).