Exponential Sums, Ree Groups and Suzuki Groups: Conjectures

Research output: Contribution to journalArticle

Abstract

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
Volume28
Issue number1
DOIs
StatePublished - Jan 2 2019

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

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

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