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Kloosterman crystals for reductive groups

Recent Progress in Moduli Theory May 06, 2019 - May 10, 2019

May 10, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Xinwen Zhu (California Institute of Technology)
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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