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SUMMARY:Ananth Shankar (MIT)
DTSTART:20200506T150000Z
DTEND:20200506T160000Z
DTSTAMP:20260404T145131Z
UID:CMI/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/CMI/1
 /">A finiteness criterion for 2-dimensional representations of surface gro
 ups.</a>\nby Ananth Shankar (MIT) as part of CMI seminar series\n\n\nAbstr
 act\nLet C be a a complex algebraic curve of genus \\geq 1\, and let pi be
  its fundamental group. Let \\rho: pi\\rightarrow \\GL_2(\\C) be a semisim
 ple 2-dimensional representation\, such that \\rho(\\alpha) has finite ord
 er for every simple closed loop \\alpha. We will prove that \\rho has fini
 te image. If time permits\, we will mention applications of this result to
  the Grothendieck-Katz p-curvature conjecture. This is joint work with Ana
 nd Patel and Junho Peter Whang.\n
LOCATION:https://stable.researchseminars.org/talk/CMI/1/
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