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강연자: Dylan Allegretti (Yau Mathematical Sciences Center, Tsinghua University)
시간: 2025-11-18(화) 14:00~15:30 2025-11-19(수) 14:00~15:30 2025-11-20(목) 14:00~15:30
장소: 서울대학교 27동 220호
Title: Categorical aspects of class S field theories
Abstract: In physics, there is an important class of quantum field theories whose properties are encoded in the geometry of Riemann surfaces. These are the theories of class S. In this lecture series, I will explain how some aspects of class S theories can be understood mathematically using triangulated categories. In particular, I will explain how this leads to categorifications of various interesting moduli spaces in low-dimensional geometry and topology.
References: Allegretti-Kim-Shan: Monoidal categorification of genus zero skein algebras. arXiv:2505.13332. Bridgeland-Smith: Quadratic differentials as stability conditions. arXiv:1302.7030. Caorsi-Cecotti: Categorical webs and S-duality in 4d N=2 QFT. arXiv:1707.08981. Cautis-Williams: Canonical bases for Coulomb branches of 4d N=2 gauge theories. arXiv:2306.03023. Gaiotto-Grygoryev-Li: Categories of line defects and cohomological Hall algebras. arXiv:2406.07134.
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천지원 / 직원 / 수리과학부