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Extra Form
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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첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 <학부생을 위한 ε 강연> 압축센싱과 행렬완성 file 서울대 심병효
수학강연회 Theory and applications of partial differential equations file 서울대 변순식
수학강연회 <학부생을 위한 ε 강연> 동형암호와 근사정수론 file 서울대 천정희
수학강연회 An introduction to hyperplane arrangements file 서울대 이승진
수학강연회 Periodic orbits in symplectic geometry file 서울대 강정수
수학강연회 Mixing time of random processes file 서울대 서인석
수학강연회 Congruences between modular forms file 서울대 유화종
수학강연회 Alice and Bob meet Banach and von Neumann file 서울대 이훈희
수학강연회 <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces file 서울대 이상혁
수학강연회 Arithmetic of elliptic curves file 서울대 김도형
수학강연회 On the distributions of partition ranks and cranks file 서울과학기술대학교 김병찬
수학강연회 Integer partitions, q-series, and Modular forms file 서울과학기술 대학 김병찬
수학강연회 Averaging formula for Nielsen numbers file 서강대학교 이종범
수학강연회 Symmetry Breaking in Quasi-1D Coulomb Systems file 서강대학교 Paul Jung
수학강연회 Noncommutative Surfaces file 서강대학교 Jens Hoppe
수학강연회 Regularity theory for non-autonomous elliptic equations in divergence form file 서강대학교 옥지훈
수학강연회 Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
수학강연회 Descent in derived algebraic geometry file 서강대학교 조창연
수학강연회 Entropy of symplectic automorphisms file 서강대학교 김준태
수학강연회 Q-curvature in conformal geometry file 서강대 Pak Tung Ho
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