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SUMMARY:Arithmetic of Dehn surgery points - Alan Reid (University of Texas
  at Austin)
DTSTART:20170509T133000Z
DTEND:20170509T143000Z
UID:TALK72401@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Associated to a finite volume hyperbolic 3-manifold is a numbe
 r field and quaternion algebra over that number field.<br>Closed hyperboli
 c 3-manifolds arising from Dehn surgeries on a hyperbolic knot complement 
 provide a family of number fields and<br>quaternion algebras that can be v
 iewed as varying over the canonical component of the character variety of 
 the knot.&nbsp\; This talk will investigate this\, and&nbsp\; give example
 s of different behavior. The main results will show how this can be explai
 ned using the language of Azumaya algebras over a curve. This is joint wor
 k with Ted Chinburg and Matthew Stover.<br>
LOCATION:Seminar Room 1\, Newton Institute
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