Speakers and abstracts:
- 유화종 (서울대학교, 서울): Introduction to Galois representations
- 박철 (UNIST, 울산): The geometry of Fontaine--Laffaille module
Abstract: Fontaine--Laffaille modules are linear algebra objects that correspond to certain mod-p Galois representations. These Fontaine--Laffaille modules together with fixed bases compatible with the filtration are parameterized by the variety U\GL_n, where U is the subgroup of GL_n consisting of the upper-triangular unipotent matrices. In this short lecture series, we introduce the geometry of U\GL_n, and interpret some representation theoretic properties in terms of geometric languages.
- 이정인 (고등과학원, 서울): Introduction to arithmetic statistics
Abstract: In this lecture series, we provide some recent developments and problems in arithmetic statistics, where one studies statistical behavior of number-theoretic objects in families. After giving a brief introduction, we concentrate on the problems on counting number-theoretic objects: number fields, algebraic objects over number fields and abelian varieties over finite fields.
Schedule:
2월 16일(화)
13:00~14:00 유화종
14:30~15:30 박철
16:00~17:00 이정인
17:00~18:00 질문 및 보충강의
2월 17일(수)
10:00~11:00 유화종
11:30~12:30 박철
14:00~15:00 이정인
15:00~18:00 질문 및 보충강의
2월 18일(목)
10:00~11:00 유화종
11:30~12:30 박철
Organizers:
- 김연수 (전남대학교, 광주), ykim@jnu.ac.kr
- 선해상 (UNIST, 울산)
후원: 한국연구재단