컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0633 |
|---|---|
| 분류(Section) | Plenary Lecture |
| 분과(Session) | |
| 영문제목 (Title(Eng.)) |
Diophantine geometry and non-abelian motives |
| 저자(Author(s)) |
Minhyong Kim 1 University of Oxford and Seoul National University1 |
| 초록본문(Abstract) | A substantial portion of mainstream research in number theory over the past several decades has been concerned with the theory of motives, as manifested in the conjectures of Birch and Swinnerton-Dyer, Bloch, Beilinson, and Kato. In this lecture, we will interpret this theory as a linearized, `virtual' theory of Diophantine equations, and describe recents attempts to refine it using ideas of homotopy theory. |
| 분류기호 (MSC number(s)) |
11G30 |
| 키워드(Keyword(s)) | Diophantine geometry, motives, arithmetic fundamental groups |
| 강연 형태 (Language of Session (Talk)) |
English |