Triangulated categories, moduli, and stability
Ian Selvaggi (SISSA)
Tuesday 12th November 15:00-16:00 Maths 311B
Abstract
Since Bridgeland's introduction of stability conditions on derived categories, a great deal of results has been accomplished to build a general theory for moduli spaces of (semi)stable objects. In this seminar I will review the homological constructions required for the algebraicity of the associated moduli problem and outline ongoing work for derived categories of \G_m-gerbes. Conjecturally, this approach would extend the existing theory to that of twisted sheaves. Time permitting, building on work by Alper, Halpern-Leistner and Heinloth, I will also discuss the existence of good moduli spaces.
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