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DTSTART;TZID=America/New_York:20261109T140000
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DTSTAMP:20261109T133513Z
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UID:10017148-1794232800-1794236400@umaine.edu
SUMMARY:Libra Lecture Series - Prof. Eknath Ghate
DESCRIPTION:Libra Lecture Series\, University of Maine Mathematics\nProf. Eknath Ghate\, Visiting Libra Professor\, University of Maine and TIFR Mumbai India\nLecture 6: Monday\, November 9th at 2pm\, 310 Boardman Hall \nTitle: Proof of the Main Theorem\n\nAbstract: \nIn the first lecture of this series we stated a theorem: for weights 3 ≤ k ≤ p+1\, the mod p reductions of the semi-stable representations V_{k\,L} alternate\, in an explicit pattern\, between certain irreducible and reducible mod p representations. \nOver the course of the series we reduced the proof to understanding certain subquotients of the reduction of a lattice in the associated Banach space B_{k\,L}. This space is the quotient of a space of functions roughly of type  C^{(k−2)/2} by certain sums of polynomial-times-logarithm functions. \nIn this final lecture\, we compute one of these subquotients in detail as a model for the rest. The main theorem then follows by inverting the Iwahori mod p local Langlands correspondence. \n\n\n\n 
URL:https://umaine.edu/calendar/event/libra-lecture-series-prof-eknath-ghate-4/
LOCATION:Boardman Hall\, Long Rd\, Orono\, ME\, 04469\, United States
CATEGORIES:Lectures & Seminars
ORGANIZER;CN="Department of Mathematics & Statistics":MAILTO:mathstats@maine.edu
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