Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

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Upcoming Seminars in series SEM-DARBOUX
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Thursday 28 November 2019, 11:00 at LPTHE, bibliothèque du LPTHE, tour 13-14, 4eme étage SEM-DARBOUX (Séminaire Darboux - physique théorique et mathématiques) hep-th|math
Muriel Livernet ( IMJ ) TBA

Thursday 12 December 2019, 11:00 at LPTHE, bibliothèque du LPTHE, tour 13-14, 4eme étage SEM-DARBOUX (Séminaire Darboux - physique théorique et mathématiques) math.AG
Emanuele Macri ( Northeastern University ) TBA

Thursday 16 January 2020, 11:00 at LPTHE, bibliothèque du LPTHE, tour 13-14, 4eme étage SEM-DARBOUX (Séminaire Darboux - physique théorique et mathématiques) hep-th|math
Gerard Freixas Montplet ( IMJ ) On genus one mirror symmetry
Abstract: Classical genus zero proposes a duality phenomenon for Calabi-Yau (CY) manifolds, relating the Yukawa coupling for a large structure limit of CY's and enumerative invariants of rational curves on a mirror CY. For the higher genus counting problem, the corresponding conjectural program was proposed by Bershadsky-Cecotti-Ooguri-Vafa (BCOV). In particular, they predict that a combination of holomorphic analytic torsions of large structure limits of CY's encapsulate genus one enumerative invariants on a mirror. In this talk I would like to present and discuss a refined conjecture which bypasses spectral theory and pertains to the realm of complex geometry, as for the Yukawa coupling. I will then explain a proof of this conjecture for the mirror family of Calabi-Yau hypersurfaces in projective space, which relies on the arithmetic Riemann-Roch theorem in Arakelov geometry. The result is compatible with the BCOV predictions, as well as related work by Zinger.

seminars from series at institute
in subject with field matching

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