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NCTS Seminar in Algebraic Geometry
 
14:00 - 15:00, June 25, 2019 (Tuesday)
R201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Categorical Entropy of Autoequivalences on Calabi-Yau Manifolds
Yu-Wei Fan (Yau Mathematical Sciences Center, Tsinghua University)

Abstract:

Calabi-Yau manifolds have many "hidden symmetries", which are autoequivalences that can not be generated by the standard ones like automorphisms, tensoring line bundles, and shiftings. By studying categorical entropy introduced by Dimitrov-Haiden-Katzarkov-Kontsevich, we show that the dynamical systems formed by the hidden symmetries and the actual symmetries have different behaviours. We will also explain the motivation coming from mirror symmetry of Calabi-Yau manifolds.



 

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