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SUMMARY:Ananth Shankar (MIT)
DTSTART:20200506T150000Z
DTEND:20200506T160000Z
DTSTAMP:20260513T213321Z
UID:CMI/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CMI/1/">A fi
 niteness criterion for 2-dimensional representations of surface groups.</a
 >\nby Ananth Shankar (MIT) as part of CMI seminar series\n\n\nAbstract\nLe
 t C be a a complex algebraic curve of genus \\geq 1\, and let pi be its fu
 ndamental group. Let \\rho: pi\\rightarrow \\GL_2(\\C) be a semisimple 2-d
 imensional representation\, such that \\rho(\\alpha) has finite order for 
 every simple closed loop \\alpha. We will prove that \\rho has finite imag
 e. If time permits\, we will mention applications of this result to the Gr
 othendieck-Katz p-curvature conjecture. This is joint work with Anand Pate
 l and Junho Peter Whang.\n
LOCATION:https://researchseminars.org/talk/CMI/1/
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