The conductor density of abelian extensions with local behaviors
bk21
129동 101호
0
4193
2025.05.27 14:26
| 구분 | Rookies Pitch |
|---|---|
| 일정 | 2025-06-05(목) 16:00~16:30 |
| 세미나실 | 129동 101호 |
| 강연자 | 오경원 (전남대학교) |
| 담당교수 | 서인석 |
| 기타 |
Arithmetic statistics is the study of the statistical properties of arithmetic invariants associated with number-theoretic objects. An essential aspect of arithmetic statistics is the enumeration of number-theoretic objects of interest, such as primes, number fields, and elliptic curves. In this talk, we will explain how such number-theoretic objects can be enumerated using L-functions, a fundamental tool in number theory. Additionally, we will demonstrate how to compute the number of abelian extensions over an arbitrary number field K that satisfying given local conditions at a finite set of primes with a power saving error term.
