The 60th KMGS will be held on September 10, Thursday, at the Natural Science Building (E6-1) Room 1410. We invite a speaker Beomho Kim from the Dept. of Mathematical Sciences, KAIST.
The abstract of the talk is as follows.
[Speaker] 김범호 (Beomho Kim) from Dept. of Mathematical Sciences, KAIST, supervised by Prof. 임보해 (Bo-Hae Im)
[Title] Elliptic Curves over Global Function Fields
[Discipline] Number Theory
[Abstract]
Elliptic curves are fundamental objects in modern number theory, connecting algebraic geometry and arithmetic.In this talk, I will give an introductory overview of elliptic curves and their arithmetic, comparing the number field and function field settings and highlighting their similarities and differences. I will then present recent results on elliptic curves of analytic rank one and their ranks over certain ring class fields, based on joint work with Seokhyun Choi and Bo-Hae Im.
[Language] Korean