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UID:40145bdc6dc25c37b57e0cecb7fe7478
CATEGORIES:Topology/Geometry Seminar
CREATED:20230928T115641
SUMMARY:Bonahon-Wong-Yang volume conjecture for incomplete structures 
LOCATION:Online (click on the Zoom link)
DESCRIPTION:<p>Seminar webpage:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologysem2324/home">https://sites.google.com/view/rutgersgeometrytopo
 logysem2324/home</a></p><p>Zoom link:&nbsp;<a href="https://rutgers.zoom.us
 /j/91431828633?pwd=NWhGa0FkWjFEWWtQU0ZtcWlnL2lQdz09">https://rutgers.zoom.u
 s/j/91431828633?pwd=NWhGa0FkWjFEWWtQU0ZtcWlnL2lQdz09</a></p>
CONTACT:Tushar Pandey (Texas A&amp;M university)
X-EXTRAINFO:Abstract:\nIn 2021, F. Bonahon, H. Wong, and T. Yang defined quantum invari
 ants for self-homeomorphisms of a surface using the representation theory o
 f Kauffman Bracket Skein algebra. They conjectured that the invariants capt
 ure the hyperbolic volume of the mapping torus corresponding to the complet
 e hyperbolic structure. They verified the conjecture numerically for some c
 ases and proved it for the one-puncture torus bundles. Together with Ka Ho 
 Wong, we extend this conjecture such that the quantum invariants constructe
 d above also capture the volume of cone manifolds when the manifolds are ma
 pping tori. We also provide some recent developments and results for both t
 he conjectures. 
DTSTAMP:20260829T174209
DTSTART;TZID=America/New_York:20231003T160000
DTEND;TZID=America/New_York:20231003T170000
SEQUENCE:0
TRANSP:OPAQUE
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