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SUMMARY:Linhui Shen (Michigan State University)
DTSTART:20200603T013000Z
DTEND:20200603T023000Z
DTSTAMP:20260423T024724Z
UID:POINTS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/POINTS/9/">Q
 uantum geometry of moduli spaces of local systems</a>\nby Linhui Shen (Mic
 higan State University) as part of POINTS - Peking Online International Nu
 mber Theory Seminar\n\n\nAbstract\nLet $G$ be a split semi-simple algebrai
 c group over $\\mathbb{Q}$. We introduce a natural cluster structure on mo
 duli spaces of G-local systems over surfaces with marked points. As a cons
 equence\, the moduli spaces of $G$-local systems admit natural Poisson str
 uctures\, and can be further quantized. We will study the principal series
  representations of such quantum spaces. It will recover many classical to
 pics\, such as the $q$-deformed Toda systems\, quantum groups\, and the mo
 dular functor conjecture for such representations. This talk will mainly b
 e based on joint work with A.B. Goncharov.\n\nZoom number: 681 9707 4659\n
 \nZoom password: 929593\n
LOCATION:https://researchseminars.org/talk/POINTS/9/
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