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| 06/06/2019 | 11h00 (Collège de France) 11 Pl. M. Berthelot | John Ottem, Oslo
The birational Torelli problem for Calabi-Yau 3-folds |
| | Abstract: The intersection of two general PGL(10)-translates of the Grassmannian Gr(2,5) is a Calabi-Yau 3-fold X, and the intersection of the projective duals of the two translates is another Calabi-Yau 3-fold Y. We show that X and Y provide counterexamples to a certain ”birational” Torelli problem for Calabi-Yau 3-folds, namely, they are deformation equivalent, derived equivalent, and have isomorphic Hodge structures, but they are not birational. We also survey some related recent developments. This is joint work with Jørgen Vold Rennemo. |
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| 06/06/2019 | 14h00 (5-02) Jussieu 15-25 | Laurent Manivel, Univ. Toulouse
Quelques résolutions non-commutatives des singularités, et applications |
| | Résumé : On montrera que certains lieux déterminantiels généralisés admettent des résolutions non commutatives des singularités, parfois crépantes, qui se décrivent en termes de carquois équivariants. En guise d'application, on donnera une description "à la Orlov" des catégories dérivées de certaines variétés à fibré canonique trivial. |
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| 13/06/2019 | 14h00 (5-02) Jussieu 15-25 | Paolo Stellari, Univ. Milano
Categorical Torelli Theorems |
| | Abstract: We investigate a refined Derived Torelli Theorem for Enriques surfaces. Namely, we prove that two Enriques surfaces are isomorphic if and only if their Kuznetsov components are Fourier-Mukai equivalent. We investigate the similarities with analogous results for cubic fourfolds and threefolds and we show the applications of our techniques to a conjecture by Ingalls and Kuznetsov about the derived categories of Artin-Mumford quartic double solids. This is joint work in progress with Bernardara, Li, Nuer and Zhao. |
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| 27/06/2019 | 14h00 (5-02) Jussieu 15-25 | Mircea Mustaţă, Univ. Michigan
(à préciser) |