From transcendental numbers to higher Ramanujan foliations

Tiago Fonseca (University of Oxford)

03-Jun-2020, 18:30-20:00 (6 years ago)

Abstract: I will explain how a problem in the theory of transcendental numbers leads to the construction of certain principal bundles over moduli stacks of abelian varieties. Such bundles carry a natural horizontal foliation whose corresponding differential equations generalize Ramanujan's classical relations between Eisenstein series. I will then discuss a result on the Zariski-density of the analytic leaves of this foliation.

algebraic geometry

Audience: researchers in the topic

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Brazilian algebraic geometry seminar

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Previous talks available at the YouTube channel "Brazilian Algebraic Geometry" www.youtube.com/channel/UCM-pcdNdpWxQFgOg-illE2w

Organizers: Marcos Jardim*, Ethan Cotterill*, Eduardo Esteves, Carolina Araujo, MaurĂ­cio CorrĂȘa*
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