Mar 17 – 28, 2025
MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz
Europe/Berlin timezone

In the research area of string compactifications and, more recently, in the context of quantum field theory scattering amplitudes, geometric properties of Calabi–Yau varieties and their moduli spaces have played an important role. In the past these Calabi–Yau varieties have often been studied over the field of complex numbers. Considering such varieties over the field of rational numbers, or over finite fields, is not only a modern research topic in arithmetic geometry and number theory, but also offers novel perspectives and new insights in physics. For instance: the arithmetic of Calabi–Yau manifolds is
linked to supersymmetric black holes and supersymmetric flux vacua of string theory, the asymptotic growth of Gopakumar–Vafa invariants is determined by the L-values of modular Calabi–Yau varieties, and similar arithmetic methods have been applied in the context of quantum field theory Feynman integrals.

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Ends
Europe/Berlin
MITP - Mainz Institute for Theoretical Physics, Johannes Gutenberg University Mainz
2413/2-430 - MITP Seminar Room
Staudingerweg 9 / 2nd floor, 55128 Mainz
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Organized by Philip Candelas (University of Oxford, diversity coordinator), Xenia de la Ossa (University of Oxford), Hans Jockers (JGU Mainz), Pyry Kuusela (JGU Mainz), and Joseph McGovern (University of Melbourne).

MITP supports equal opportunities in science.