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Georg Oberdieck: Curve counting on the Enriques surface and Borcherds automorphic form

Time: Wed 2023-05-10 13.15 - 14.15

Location: Albano, Cramér room

Participating: Georg Oberdieck, KTH

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An Enriques surface is the quotient of a K3 surface by a fixed point-free involution. Klemm and Marino conjectured a formula expressing the Gromov–Witten invariants of the local Enriques surface in terms of automorphic forms. In particular, the generating series of elliptic curve counts on the Enriques should be the Fourier expansion of (a certain power of) Borcherds famous automorphic form on the moduli space of Enriques surfaces. In this talk I will explain a proof of this conjecture.

Belongs to: Stockholm Mathematics Centre
Last changed: May 01, 2023