Kloosterman crystals for reductive groups
Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
I will first review the relationship between the classical Bessel equation and the Kloosterman sum. Then I will discuss the generalizations of this story for arbitrary reductive groups using ideals from the geometric Langlands program, based on the works by Frenkel-Gross, Heinloth-Ngo-Yun, myself, and the recent joint work in progress with Daxin Xu.
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