Non-archimedean periods for log Calabi-Yau surfaces

par Soham Karwa (Imperial College London & IHES)

mercredi 8 nov. 2023, 14:30 → 16:00 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

Period integrals are a fundamental concept in algebraic geometry and number theory. In this talk, we will study the notion of non-archimedean periods as introduced by Kontsevich and Soibelman.  We will give an overview of the non-archimedean SYZ program, which is a close analogue of the classical SYZ conjecture in mirror symmetry. Using the non-archimedean SYZ fibration, we will prove that non-archimedean periods recover the analytic periods for log Calabi-Yau surfaces, verifying a conjecture of Kontsevich and Soibelman. This is joint work with Jonathan Lai. 

 

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