Wednesday, November 11, 2020
4:00 PM-12:00 AM
Zoom
Off Campus Location
Every vector bundle on a smooth curve has a canonical filtration, called the Harder-Narasimhan filtration, and the moduli of all vector bundles admits a stratification based on the properties of the Harder-Narasimhan filtration at each point. The theory of Theta-stratifications formulates this structure on a general algebraic stack. I will discuss how to characterize stratifications of this kind and the nice properties they enjoy, such as having well-behaved local cohomology. Even when studying classical moduli problems, such as the moduli of semistable coherent sheaves on a K3 surface, it will be necessary to use methods from derived algebraic geometry. We will explain how derived Theta-stratifications are part of a recent proof of a case of the D-equivalence conjecture: for any projective Calabi-Yau manifold X that is birationally equivalent to a moduli space of semistable coherent sheaves on a K3 surface, the derived category of coherent sheaves on X is equivalent to the derived category of this moduli space. Speaker(s): Daniel Halpern-Leistner (Cornell)
Building: | Off Campus Location |
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Location: | Off Campus Location |
Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics, Algebraic Geometry Seminar - Department of Mathematics |