Number Theory Seminar
Joseph Gunther
CUNY
Counting extensions of function fields geometrically
Abstract: Recent work of Bhargava, Shankar, and Wang extended results on counting number fields of bounded
discriminant and low degree over the rationals, to allow any global field as the base field. Their work
uses geometry of numbers for both number fields and function fields. We'll explain how, in the function
field case, one can instead give algebro-geometric proofs, which suggest new avenues for research and
shed light on the geometry of the number field situation.
Tuesday October 18, 2016 at 10:00 AM in SEO 427