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Number Theory Seminar | Peter Humphries (UVA)

Friday, November 1, 2024 | 2:00 PM - 3:00 PM CT
Lunt Hall, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: Equidistribution and Subconvexity

Abstract: A fundamental conjecture in number theory is the Riemann hypothesis, which implies the prime number theorem with an optimally strong error term. While a proof remains elusive, many results in number theory can nonetheless be proved using weaker inputs. I will discuss how one such weaker input, subconvexity, can be used to prove strong results on the equidistribution of geometric objects such as lattice points on the sphere. I will also discuss how various proofs of subconvexity reduce to understanding period integrals of automorphic forms.

 

Audience

  • Faculty/Staff
  • Student
  • Post Docs/Docs
  • Graduate Students

Contact

Bao Le Hung
Email

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