[geometry-ml:07022] Kwokwai Chan氏による集中講義

[Tatsuki Kuwagaki]

MLの皆様

こんにちは、京都大学の桑垣です。
Kwokwai Chan氏（The Chinese University of Hong Kong）による集中講義が下記の要領で開催されます。

日時：12月17日（木）、18日（金）、21日（月）、22日（火）、23日（水） 各10:00 - 12:00
会場：理学研究科3号館127室
題目： Deformation theory, tropical geometry and Fukaya's proposal on the SYZ conjecture
概要：The famous Strominger-Yau-Zaslow (SYZ) conjecture provides a geometric framework to understand mirror symmetry. It asserts that a Calabi-Yau manifold and its mirror both admit (special) Lagrangian torus fibrations to the same base. In 2002, Fukaya laid out a detailed program explaining how the symplectic geometry (A-model) of a Calabi-Yau manifold can be related to the complex geometry (B-model) of its mirror via (multi-valued) Morse theory on the base manifold. In this lecture series, we will explain a reformulation of Fukaya's picture, replacing Morse theory on the base by tropical geometry on its Legendre dual. We will also prove some of his conjectures. Along the way, we would see how asymptotic analysis on the Maurer-Cartan equation in the deformation theory of a Calabi-Yau manifold can give rise to tropical objects such as scattering diagrams and counts of tropical curves. This lecture series is based on a series of joint works with Conan Leung and Ziming Nikolas Ma and others, which were substantially supported by Hong Kong RGC grants.

申込URL: https://forms.gle/zFteDuF4twJirVaw9
締切日： 12月12日 （土）
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よろしくお願いします。
桑垣