SYSU-CUHK Joint Online Workshop on Geometry and Physics (III)

Purpose:

Due to the corona, it becomes very difficult to have international visits nowadays. To contribute the academic commutation in mathematics between Sun Yat-sen Unversity (SYSU) and the Chinese University of Hong Kong (CUHK), we organize this joint online workshop. This is the third round on geometry and physics, and is fully supported by SYSU.

Organizers:

LEUNG, Naichung Conan       (The Chinese University of Hong Kong)

LI, Changzheng                      (Sun Yat-sen University)

CHAN, Kwok Wai                   (The Chinese University of Hong Kong)

Speakers:       

Yalong Cao                      (RIKEN Interdisciplinary Theoretical and Mathematical Sciences Program)

Matthew Young                (Utah State University)

Shilin Yu                          (Xiamen University)     

Zoom No.: 753 271 5869

Password: please emal  lichangzh AT mail.sysu.edu.cn

Program: (Beijing time)

 9:00-10:00         

 Speaker: Matthew Young

 Title: Unoriented modular tensor categories and 3d TFTs

 Abstract: Modular tensor categories classify three dimensional oriented topological fields theories (TFTs). For example, categories of representations of quantum groups at roots of unity are modular and provide a mathematical model for quantum Chern--Simons theory. I'll explain work in progress to define an extension of the theory of modular tensor categories which conjecturally classifies unoriented three dimensional TFTs. I'll explain examples of these extensions and present some related open problems.

 10:00-11:00         

 Speaker: Yalong Cao

 Title: Gopakumar-Vafa type invariants for Calabi-Yau 4-folds

 Abstract: Gopakumar-Vafa type invariants on Calabi-Yau 4-folds (which are non-trivial only for genus zero and one) are defined by Klemm-Pandharipande from Gromov-Witten theory, and their integrality is conjectured. In this talk, I will explain how to give a sheaf theoretic interpretation for them. Based on joint works with D. Maulik and Y. Toda.

11:00-12:00

Speaker: Shilin Yu

Title: Deformation quantization of coadjoint orbits

Abstract: The coadjoint orbit method/philosophy suggests that irreducible unitary representations of a Lie group can be constructed as quantization of coadjoint orbits of the group. In this talk, I will propose a geometric way to understand orbit method using deformation quantization, in the case of noncompact real reductive Lie groups. This approach combines recent results on quantization of symplectic singularities and Lagrangian subvarieties. This talk is based on joint work with Conan Leung and ongoing joint project with Ivan Losev.

Contact information:

Prof. LI, Changzheng 
Email: lichangzh AT mail.sysu.edu.cn

Phone: +86-20-84111738 

School of Mathematics, Sun Yat-sen University, No. 135, Xingang Xi Road, Haizhu, Guangzhou, 510275, China 

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