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SUMMARY:Wade Bloomquist (Morningside University)
DTSTART:20231018T190000Z
DTEND:20231018T200000Z
DTSTAMP:20260420T053409Z
UID:NYC-NCG/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/139/
 ">Quantum Traces and Degenerations</a>\nby Wade Bloomquist (Morningside Un
 iversity) as part of Noncommutative geometry in NYC\n\n\nAbstract\nSkein a
 lgebras of surfaces describe a multiplication for curves on surfaces\, whi
 ch remembers the poisson structure on the ring of regular functions of the
  character variety of the surface.  Quantum trace maps\, introduced by Bon
 ahon and Wong\, show how skein algebras of punctured surfaces can be embed
 ded into well-behaved algebras called quantum tori.  Our discussion will f
 ocus on a joint generalization of skein algebras\, which captures the hype
 rbolic geometry seen in Roger-Yang skein algebras and the quantum group co
 module structure seen in stated skein algebras.  This generalization is a 
 key tool in building a quantum trace map for degenerations (coming from fi
 ltrations) of skein algebras of closed surfaces.  As time permits we will 
 discuss some applications.  A strong effort will be made to introduce thes
 e topics at the expense of some technical details.  This work is joint wit
 h Thang Le and Hiroaki Karuo.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/139/
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