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SUMMARY:Ping Xi (Xi'an Jiaotong University\, Xi'an\, China)
DTSTART:20200717T110000Z
DTEND:20200717T120000Z
DTSTAMP:20260423T021346Z
UID:NTdL/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTdL/12/">On
  the modular structure of Kloosterman sums after Katz</a>\nby Ping Xi (Xi'
 an Jiaotong University\, Xi'an\, China) as part of Number theory during lo
 ckdown\n\n\nAbstract\nIt is widely believed that Kloosterman sums should b
 ehave randomly in certain suitable families\, and it is particularly diffi
 cult in the horizontal sense. Motivated by deep observations on elliptic c
 urves\, Nicholas Katz proposed three problems on sign change\, equidistrib
 ution and modular structure of Kloosterman sums in 1980. In this talk\, we
  will focus on the modular structures and present some recent progresses t
 owards this problem made by analytic number theory combining certain tools
  from $\\ell$-adic cohomology.\n
LOCATION:https://researchseminars.org/talk/NTdL/12/
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