2–4 Apr 2025
University of Stavanger, Norway
Europe/Oslo timezone

Categorical Torelli theorems for weighted hypersurfaces and the Veronese double cone

2 Apr 2025, 14:15
1h
02.04. Kjølv Egelands hus KE E-264; 03.04. Kjell Arholms hus KA U-136; 04.04. Kjølv Egelands hus KE A-202 (University of Stavanger, Norway)

02.04. Kjølv Egelands hus KE E-264; 03.04. Kjell Arholms hus KA U-136; 04.04. Kjølv Egelands hus KE A-202

University of Stavanger, Norway

Both buildings you find on Ullandhaug Campus: Kjølv Egelands hus: Kristine Bonnevies vei 22 Mazemap link to KE E-264: https://link.mazemap.com/StCpOfWl Kjell Arholms hus: Telegrafdirektør Heftyes vei 73 Mazemap link to KA U-134: https://link.mazemap.com/fkyDnR8T Mazemap link to KE A-202: https://link.mazemap.com/WQ2WNkz4 Lunch will be served at our new SIS building, next to Kjølv Egelands hus. Link below is for the room on the first day:

Speaker

Prof. Jørgen Rennemo

Description

The derived category of a Fano variety will often have a semiorthogonal decomposition consisting of a sequence of exceptional line bundles and a remaining subcategory, which we will call the Kuznetsov category. The categorical Torelli problem asks whether knowing this category up to exact equivalence is enough to determine the variety up to isomorphism. We will explain how a technique based on a computation of the Hochschild-Serre algebra of the category shows that the answer is yes in many cases, including the case of a Veronese double cone. This is joint work with Xun Lin and Shizhuo Zhang.

Primary author

Presentation materials

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