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SUMMARY:Daxin Xu (Morningside Center of Mathematics)
DTSTART:20220428T110000Z
DTEND:20220428T130000Z
DTSTAMP:20260423T005800Z
UID:AGNTISTA/59
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/59/
 ">Bessel equations\, hypergeometric sums and geometric Langlands correspon
 dence</a>\nby Daxin Xu (Morningside Center of Mathematics) as part of Alge
 braic Geometry and Number Theory seminar - ISTA\n\n\nAbstract\nI will firs
 t review the relationship between the Kloosterman sums and the classical B
 essel differential equation. Recently\, there are two generalizations of t
 his story (corresponding to GL_2-case) for arbitrary reductive groups usin
 g ideas from the geometric Langlands program\, due to Frenkel-Gross and He
 inloth-Ngô-Yun. I will discuss my joint work with Xinwen Zhu where we uni
 fy previous two constructions from the p-adic aspect and identify the expo
 nential sums associated to different groups as conjectured by Heinloth-Ng
 ô-Yun. I will also talk about my recent joint work with Masoud Kamgarpour
  and Lingfei Yi on the generalization of the above story to hypergeometric
  sheaves.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/59/
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