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강연자 Jens Hoppe
소속 서강대학교
date 2014-04-03

Many aspects of the differential geometry of embedded Riemannian manifolds, including curvature, can be formulated in terms of multi-linear algebraic structures on the space of smooth functions. For matrix analogues of embedded surfaces, one can define discrete curvature, and a noncommutative Gauss-Bonnet theorem. After giving a general introduction to the Poisson-algebraic reformulation for surfaces, as well as explaining a method to associate sequences of finite dimensional matrices to them, I will focus on concrete examples, including noncommutative analogues of minimal surfaces (that play a central role in one of the more promising attempts to unify the known physical interactions)


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List of Articles
카테고리 제목 소속 강연자
수학강연회 Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza file 건국대학교 교수, 현 산업응용수학회 회장 정은옥
수학강연회 Mathematics, Biology and Mathematical Biology file 부산대학교 수학과 정일효
Maximal averages in harmonic analysis file 서울대학교 이상혁
수학강연회 Mechanization of proof: from 4-Color theorem to compiler verification file 서울대 컴퓨터공학부 허충길
수학강연회 Mirror symmetry of pairings file 숭실대학교 이상욱
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 Mixing time of random processes file 서울대 서인석
수학강연회 Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
수학강연회 Non-commutative Lp-spaces and analysis on quantum spaces file 서울대학교 이훈희
수학강연회 Noncommutative Geometry. Quantum Space-Time and Diffeomorphism Invariant Geometry file 서울대학교 Raphael Ponge
수학강연회 Noncommutative Surfaces file 서강대학교 Jens Hoppe
수학강연회 Nonlocal generators of jump type Markov processes file University of Bielefeld Walter Hoh
수학강연회 Normal form reduction for unconditional well-posedness of canonical dispersive equations file KAIST 권순식
수학강연회 Number theoretic results in a family file Univ. of Toronto / KIAS Kim, Henry
수학강연회 On circle diffeomorphism groups file 고등과학원 김상현
수학강연회 On classification of long-term dynamics for some critical PDEs file 서울대학교 김기현
수학강연회 On function field and smooth specialization of a hypersurface in the projective space file KAIST 이용남
수학강연회 On Ingram’s Conjecture file University of Zagrab Sonja Stimac
수학강연회 On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
수학강연회 On the distributions of partition ranks and cranks file 서울과학기술대학교 김병찬
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