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| 18/04/2019 | 14h (40+30) (5-02) Jussieu 15-25 | Benjamin Bakker, Univ. Georgia
Transcendence of period maps |
| | A period domain $D$ parametrizes Hodge structures and can be described as a certain analytic open set of a flag variety. Due to the presence of monodromy, the period map of a family of algebraic varieties lands in a quotient $D/\ Gamma$ by an arithmetic group. In the very special case when $D/\Gamma$ is itself algebraic, understanding the interaction between algebraic structures on the source and target of the uniformization $D\rightarrow D/\Gamma$ is a crucial component of the modern approach to the Andr\'e-Oort conjecture. We prove a version of the Ax-Schanuel conjecture for general period maps $X\ rightarrow D/\Gamma$ which says that atypical algebraic relations between $X$ and $D$ are governed by Hodge loci. We will also discuss some recent arithmetic applications due to Lawrence and Venkatesh. This is joint work with J. Tsimerman. |
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| 09/05/2019 | 14h00 (5-02) Jussieu 15-25 | Charles Doran, Univ. Alberta
(à préciser) |
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| 23/05/2019 | 14h00 (5-02) Jussieu 15-25 | Georg Oberdieck, M.I.U. Bonn
(à préciser) |