Spectral projectors via analytic number theory

  • 29 March 2023
  • 1400-1500
  • Sch 0.13

Simon Myerson (Warwick)

We introduce spectral projectors on a torus as a restriction problem with exponential sums, and relate them to other problems including eigenfunction growth estimates and the Gauss circle problem. We discuss a number of approaches for arbitrary or generic tori with roots in number theory.

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