컨텐츠 시작
학술대회/행사
Math Events
| 행사일정 보기 | |
|---|---|
| 행사분류 | 국내 |
| 행사종류 | 워크숍 |
| 행사명 | KAIX Distinguished Lectures by Professor Michael J. Larsen |
| 행사명(영문) | KAIX Distinguished Lectures by Professor Michael J. Larsen |
| 행사일자 | 2022-05-13 |
| 장소 | Online |
| 장소(영문) | Online |
| 첨부파일 | KAIX석학강연_Larsen.pdf |
| 내용 | KAIX Distinguished lectures in Mathematics
Speaker : Michael J. Larsen (Distinguished Professor of Mathematics, Indiana University, Bloomington)
2022.05.13 (Friday) - Korean time
09:30-10:30 AM Colloquium talk
Equations in Simple Groups
10:30-10:50 AM Q&A/break
10:50-11:50 AM Seminar Talk
Elliptic curves and field arithmetic
ZOOM ID : 283 115 0000
(No password required)
Abstract:
1. colloquium talk
Title: Equations in Simple Groups
Abstract: Given a word w in a free group on variables x_1,...,x_n, a finite group G, and an element g in G, we consider the question of whether the equation w = g has solutions where the x_i take values in G, and if so, how many. I am particularly interested in what happens when the word is fixed and G is a large finite simple groups. I will say something about the ideas which have led to progress for certain families of words, with emphasis on open problems. 2. number theory seminar talk
Title: Elliptic curves and field arithmetic
Abstract: Let E be an elliptic curve over a field K. When K is a number field, Mordell's theorem says that the points of E over K form a finitely generated group. We say a field is "anti-Mordellic" if the opposite is true for all E/K. I will discuss what is known about anti-Mordellic fields, with emphasis on a longterm joint project with Bo-Hae Im to understand the relation between the anti-Mordellic property and the absolute Galois group of K.  |