Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

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Inspired by work of Gross, we exhibit rigid local systems on the affine line whose monodromy groups we conjecture to be the Suzuki and Ree groups, in characteristics 2 and 3 respectively. We give some numerical evidence for these conjectures.

Original languageEnglish (US)
Pages (from-to)49-56
Number of pages8
JournalExperimental Mathematics
Issue number1
StatePublished - Jan 2 2019

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • 11T23
  • 20C33
  • Ree group
  • Suzuki group
  • local system
  • monodromy


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