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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 209: Number Theory Seminar
Arijit Chakraborty
UC San Diego
A Power-Saving Error Term in Counting C2 ≀ H Number Fields
Abstract:
One of the central problems in Arithmetic Statistics is counting number field extensions of a fixed degree with a given Galois group, parameterized by discriminants. This talk focuses on C2 ≀ H extensions over an arbitrary base field. While Jürgen Klüners has established the main term in this setting, we present an alternative approach that provides improved power-saving error terms for the counting function.
January 15, 2025
4:00 PM
APM 7321 and online (see https://www.math.ucsd.edu/~nts/)
Research Areas
Number Theory****************************
