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Member Seminar
April 19, 2024 @ 12:00 pm - 1:00 pm
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CMSA Member Seminar
Speaker: Sunghyuk Park, Harvard CMSA
Title: 3D quantum trace map
Abstract: I will speak about my recent work (joint with Sam Panitch) constructing the 3d quantum trace map, a homomorphism from the Kauffman bracket skein module of an ideally triangulated 3-manifold to its (square root) quantum gluing module, thereby giving a precise relationship between the two quantizations of the character variety of ideally triangulated 3-manifolds. Our construction is based on the study of stated skein modules and their behavior under splitting, especially into face suspensions.