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05/07/2022 | 10h30 (1016) Bat. S. Germain | Alexander Kuznetsov, From quartic double solids to Gushel-Mukai threefolds through derived categories |
| | l'exposé sera aussi diffusé par ZOOM:870 3083 2332, demander le mot de passe à Olivier Benoist, Olivier Debarre ou Frederic Han, ou inscrivez vous sur la liste de diffusion Abstract: Quartic double solids and Gushel-Mukai threefolds are examples of prime Fano threefolds known to share many numerical properties. In the talk I will explain how one can construct a smooth and proper over the base family of triangulated categories with special fiber the nontrivial component of the derived category of a quartic double solid and general fiber the nontrivial component of the derived category of a Gushel-Mukai threefold. As a consequence one obtains smooth families of Fano surfaces and intermediate Jacobians of these threefolds. This is a joint work in progress with Evgeny Shinder. |