Number Theory Seminar
- Event Type
- Lecture
- Sponsor
- Department of Mathematics
- Location
- 241 Altgeld
- Date
- Nov 1, 2022 11:00 am
- Speaker
- Nick Rome (Michigan)
- Contact
- Kevin Ford
- ford126@illinois.edu
- Views
- 37
Title: A new conjecture for rational points in families
Abstract: I’ll discuss the problem of counting how often a Diophantine equation has solutions in every p-adic field and the reals as one varies the coefficients of the equation. I’ll present a new conjecture on the asymptotic formula for this counting function and discuss a recently proved example in the case of the family of diagonal planar conics, which resolves a problem of Serre.