https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
Extra Form
강연자 김현규
소속 이화여대
date 2017-06-01

In late 1970's John McKay discovered the astonishing identity 196884=196883+1, which lead Conway and Norton to formulate the famous Monstrous Moonshine conjectures about the Monster group, the largest sporadic finite simple group. The simplest part of the conjecture is about the existence of a natural infinite dimensional Z-graded representation of the Monster, with the dimensions of the graded pieces coinciding with the coefficients of the j-function, which is one of the most fundamental objects in number theory. Such a module was constructed by I.Frenkel-Lepowsky-Meurman in mid 80's with an extra algebraic structure - a vertex operator algebra - whose full automorphism group is proved to be the Monster. Later, most of these conjectures were proved by Borcherds.

 

In this talk, I will give an elementary historical introduction to formulation of these conjectures and some of the subsequent mathematical developments. Throughout the talk, some knowledge on basic complex analysis is assumed. 


Atachment
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 Theory and applications of partial differential equations file 서울대 변순식
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (변성수) file KIAS 변성수
수학강연회 1 is big enough to understand 3 file 카이스트 백형렬
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
수학강연회 <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Algebraic Geometry (박현준) file KIAS 박현준
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: PDE, Dynamical Systems (박한솔) file 수리과학부 박한솔
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: PDE, Regularity Theory (박진완) file 수학연구소 박진완
수학강연회 Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
수학강연회 Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
특별강연 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds file 서울대학교 박종일
수학강연회 Restriction theorems for real and complex curves file 포항공과대학교 박종국
수학강연회 Infinite order rationally slice knots file 카이스트 수리과학과 박정환
수학강연회 Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
수학강연회 How to solve linear systems in practice file 이화여대 수학과 민조홍
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Symplectic Topology (문지연) file 수학연구소 문지연
수학강연회 Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media file 육군사관학교 문미남
수학강연회 WGAN with an Infinitely wide generator has no spurious stationary points file 서울대학교 류경석
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Next
/ 14