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Number Theory Seminar | Niclas Technau (Bonn)

Friday, October 4, 2024 | 2:00 PM - 3:00 PM CT
Lunt Hall, 103, 2033 Sheridan Road, Evanston, IL 60208 map it

Title: Rational points on/near homogeneous hyper-surfaces

Abstract: How many rational points are on/near a compact hyper-surface? This question is related, for instance, to Serre's Dimension Growth Conjecture.
We survey the state of the art, and explain a standard random model. Furthermore, we report on recent joint work with Rajula Srivastava (Uni/MPIM Bonn).
Our arguments are rooted in Fourier analysis and, in particular, clarify the role of curvature in the random model.

Audience

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

Contact

Bao Le Hung   (847) 491-5563

lhvietbao@math.northwestern.edu

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