-
Date : 2022-05-06 (Fri) 16:00
-
Place : 27-325 (SNU)
- Speaker : Keunyoung Jeong (Chonnam National University)
- Title : On an upper bound of the average analytic rank of a family of elliptic curves
- Abstract; The average of the rank of elliptic curves over rational numbers in a ``natural'' family is expected to be 1/2. For example, Goldfeld conjectured that the average of analytic ranks of the quadratic twist family of an elliptic curve over rational numbers is 1/2. In this talk, we will introduce machinery which gives an upper bound of the average of analytic ranks of a family of elliptic curves. To run the machinery, we need to know the probability that an elliptic curve in the family has good/multiplicative/additive reduction (actually we need something more) and use trace formulas. Using the machinery on the set of all elliptic curves over rationals and the set of elliptic curves with a given torsion subgroup respectively, we can compute an upper bound of the n-th moment of the average. This is the first result on an upper bound of the average of the family of elliptic curves with a fixed torsion group, as far as we know. This is joint work with Peter J. Cho.
- Website: https://sites.google.com/view/snunt/seminars
2022.04.19 14:31
[SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves
조회 수 55471 추천 수 0 댓글 0
| 일정시작 | 2022-05-06 |
|---|---|
| 일정종료 | 2022-05-06 |
| 배경색상 | #FF5733 |
Prev [KMS Specical Conference with 2022 Fields Medalists] Related ...
[KMS Specical Conference with 2022 Fields Medalists] Related ...
2023.10.11by qsms
[QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representat... Next
[QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representat...
2022.09.18by qsms
-
QSMS Mailing List Registration
-
[2022 Global KMS International Conference 10/19 ~ 10/21] Related talks
-
[QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories
-
[SNU Number Theory Seminiar] 2021.10.15
-
[QSMS Monthly Seminar 2023-03-24] Rational points on abelian varieties
-
[2021 KMS Spring Meeting] Related talks
-
[SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds
-
[SNU Number Theory Seminar 21 Apr] Selberg's central limit theorem of L -functions near the critical line
-
[QSMS Seminar 2023-10-06, 11-03] Algebraic group analogues of the Slodowy slices and the structure of the set of conjugacy classes in algebraic groups / Poisson q-W-algebras
-
[QSMS Geometry seminar 2023-05-25] Symplectic field theory and codimension-2 stable Hamiltonian submanifolds
-
[SNU Number Theory Seminiar 2021.11.12] Moduli of Fontaine-Laffailles and mod-p local-global compatibility
-
[Seminar 2020.12.03~05]Visual Studio Code를 사용하여 편리한 LaTeX 환경 구축하기
-
[Seminar 2021.04.23] Quiver Hecke algebras and unipotent quantum coordinate ring
-
[SNU Number Theory Seminar 30 June] Do Tropical Markov Cubics dream of Hyperbolic Origami?
-
[BK21-QSMS Toric Geometry Seminar] Moment Polytope
-
[KMS Specical Conference with 2022 Fields Medalists] Related talks
-
[SNU Number Theory Seminar 2022-05-06] On an upper bound of the average analytic rank of a family of elliptic curves
-
[QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix
-
[Seminar 2020.11.25] On the ordering of the Markov numbers (AM 10:00~12:00)
-
[SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms
-
[QSMS Monthly Seminar] Canonical basis
