Rigid local systems and finite symplectic groups

Nicholas M. Katz, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

For certain powers q of odd primes p, and certain integers n≥1, we exhibit explicit rigid local systems on the affine line in characteristic p>0 whose geometric and arithmetic monodromy groups are Sp(2n,q).

Original languageEnglish (US)
Pages (from-to)134-174
Number of pages41
JournalFinite Fields and their Applications
Volume59
DOIs
StatePublished - Sep 2019

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Algebra and Number Theory
  • Engineering(all)
  • Applied Mathematics

Keywords

  • Finite symplectic groups
  • Monodromy groups
  • Rigid local systems
  • Weil representation

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