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孙 哲 博士:3-webs and Fock--Goncharov duality conjecture

本站小编 Free考研考试/2021-12-26


Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
Speaker: 孙 哲 博士，IHES
Inviter:
Title:
 3-webs and Fock--Goncharov duality conjecture
Time & Venue:
 2021.05.18 20:00-22:00 腾讯会议:465970954 (密码：2021)
Abstract:
 Fock--Goncharov duality conjecture says that the canonical linear basis of the regular function ring of one space can be parameterized by the tropical integer points of the dual space. Joint with Daniel Douglas, we parameterized the trace function linear basis of the SL_3 character variety by some tropical integer points of Fock--Goncharov A moduli space satisfying the Kuntson-Tao inequalities. The crucial tools are the Kuperberg 3-webs which are oriented 3-valent graphs on the surface which I will explain in more detail.

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