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“Counting in Algebraic Geometry and Modular Forms”

Special Seminar

Come join us¬†Monday¬†February 5, 2018 at 12 pm in RM 507, Professor Georg Oberdeck (MIT) will be giving a special lecture about “Counting in Algebraic Geometry and Modular Forms”.

Abstract

It is generally expected that the enumerative geometry of Calabi-Yau geometries
should be closely related to the theory of modular forms. A basic example
(which I will recall) is the count of uniruled divisors on hyper-Kaehler
manifolds by Fourier coefficients of Jacobi forms. Another interesting but less
understood case is the count of algebraic curves and sheaves on Calabi-Yau
threefolds. I will discuss recent work with A. Pixton and J. Shen which, for a
particularly Calabi-Yau threefold, proves the modularity of its curve counting
partition function using geometric arguments.

Mathematics Hall, Room 507

Monday February 5, 2018 at 12 pm

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