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SUMMARY:Nicholas M. Katz and Pham Huu Tiep (Princeton\, Rutgers)
DTSTART:20230228T213000Z
DTEND:20230228T230000Z
DTSTAMP:20260423T130422Z
UID:MITNT/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/66/">L
 ocal systems\, exponential sums\, and simple groups</a>\nby Nicholas M. Ka
 tz and Pham Huu Tiep (Princeton\, Rutgers) as part of MIT number theory se
 minar\n\nLecture held in Room 2-449 in the Simons Building (building 2).\n
 \nAbstract\nWe study the possible structure of monodromy groups of Airy\, 
 Kloosterman\, and hypergeometric $\\ell$-adic sheaves in characteristic $p
 $. We also discuss explicit constructions of local systems and their relat
 ed exponential sums on $\\mathbb{G}_m$ or $\\mathbb{A}^1$ that realize var
 ious (close to be) simple groups.\n\nThis will be a 2-part talk\, with Kat
 z giving part 1 starting at 4:35pm Eastern (via zoom\, projected on the sc
 reen in 2-449)\, and Tiep giving part 2 starting at around 5:20pm in perso
 n in 2-449.\n
LOCATION:https://researchseminars.org/talk/MITNT/66/
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