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Extra Form
Lecturer 이계선
Dept. 서울대학교
date Mar 17, 2022

초록: Let X be a homogeneous space for a Lie group G. A (G,X)-structure on a manifold M is an atlas of coordinate charts valued in X, such that the changes of coordinates locally lie in G. It is a fundamental question to ask how many ways one can put a (G,X)-structure on M, i.e. what is the space of (G,X)-structures on the manifold M? In this talk, I will explain the strong interaction between the space of (G,X)-structures on M and the space of representations of the fundamental group of M into G. In particular, I will describe the current understanding of these spaces, focusing on the case when X is real projective space and G is the group of projective automorphisms of X.
Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications file KAIST 신연종
Math Colloquia <학부생을 위한 ε 강연> 압축센싱과 행렬완성 file 서울대 심병효
Math Colloquia <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system file LG화학 안형준
Math Colloquia 학부생을 위한 강연회: 통신의 New Trend, 그리고 Big Data file KT 전무 양현미
Math Colloquia <학부생을 위한 강연> 사색 정리를 포함하는 Hadwiger의 추측의 변형에 관하여 file KAIST 엄상일
Math Colloquia What happens inside a black hole? file 고등과학원 오성진
Math Colloquia Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia Contact instantons and entanglement of Legendrian links file IBS-CGP /POSTECH 오용근
Math Colloquia From mirror symmetry to enumerative geometry file 서울대학교 오정석
Math Colloquia Regularity for non-uniformly elliptic problems file 경북대학교 오제한
Math Colloquia Counting circles in Apollonian circle packings and beyond file Brown Univ. 오희
Math Colloquia Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
Math Colloquia 학부생을 위한 강연: 건축과 수학 file UI 건축사무소 위진복
Math Colloquia <학부생을 위한 강연> 수학과 보험산업 file 라이나생명 유신옥
Math Colloquia Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
Math Colloquia Congruences between modular forms file 서울대 유화종
Math Colloquia Random matrices and operator algebras file 서울대학교 수학교육과 윤상균
Math Colloquia Seifert fiberings file University of Oklahoma 이경배
Math Colloquia Geometric structures and representation spaces file 서울대학교 이계선
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