Torelli theorems for derived categories

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Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Lieblich, Max

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Title

Torelli theorems for derived categories

Title of Series

Interactions between Brauer Groups, Derived Categories and Birational Geometry of Projective Varieties (19w5164)

Number of Parts

Author

Lieblich, Max

License

CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.

Identifiers

10.5446/57894 (DOI)

Publisher

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Release Date

2019

Language

English

Content Metadata

Subject Area

Mathematics Physics

Genre

Workshop/Interactive Format Lecture

Abstract

I will present joint work with Martin Olsson on a conjectural Torelli-type statement for derived categories of arbitrary proper smooth varieties. The key is a replacement for the Hodge structure by “filtrations” that naturally arise from geometry.