CASTS Seminar in Algebraic Geometry
Speaker: Dr. Yota Shamoto (IPMU, University of Tokyo, Japan)
Title: (1) Expected consequences of mirror symmetry for Fano manifolds
          (2) Irregular vertex algebras
Abstract:
(1) I will roughly explain a general conjectural picture known as the mirror symmetry for Fano manifolds. Although the precise formulation of the picture in general remains open, we can formulate and check their expected consequences. From this point of view, I will talk about my result on the Hodge-Tate conditions for LG-models and the result of the joint work with F. Sanda on Dubrovin's conjecture. If time permits, I will also talk about my resent attempts on an extension of these studies.
(2) I will introduce the notion of Irregular vertex algebras. This notion is motivated by the works of Hajime Nagoya, David Gaiotto and their collaborators on irregular singularities in conformal field theories. In this talk, I will explain the definition, fundamental properties, and elementary examples of irregular vertex algebras. This talk is based on the joint work in progress with Akishi Ikeda.
Date: (1) Monday, April 15, 2019
          (2) Wednesday, April 17, 2019
Time: 15:30~16:30
Place: Room 103, Mathematics Research Center Building (ori. New Math. Bldg.), NTU
Organizer: Prof. Jeng-Daw Yu (Department of Mathematics, NTU)
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Center for Advanced Study in Theoretical Sciences, NTU
http://www.casts.ntu.edu.tw/

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