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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Quasimorphisms and Bavard's duality
拟同构 巴瓦尔 对偶性
2023/4/18
Quasimorphisms are generalizations of homomorphisms to the real number. Groups with nice aciton on Gromov-hyperbolic spaces often have a large space of quasimorphisms, although such groups can have tr...
山东大学数学学院运筹学英文课件chap4 Duality and Post-Optimal Analysis
山东大学数学学院 运筹学 英文课件 chap4 Duality and Post-Optimal Analysis
2017/4/21
山东大学数学学院运筹学英文课件chap4 Duality and Post-Optimal Analysis。
Shanghai Conference on Gauge/Gravity Duality and Its Applications
Quantum Phase transitions Charge density wave
2016/7/19
Shanghai Conference on Gauge/Gravity Duality and Its Applications will take place in Shanghai, China, from Aug.7-9,2016. This workshop aims to bring together a broad-wide range of colleagues on gauge/...
Experimental Observation of Entanglement Duality for Identical Particles
entanglement duality quantum indistinguishability quantum mechanics
2016/1/22
It was shown recently that entanglement of identical particles has a feature called dualism (Bose and Home 2013 Phys. Rev. Lett. 110 140404), which is funda-mentally connected with quantum indistingui...
Duality for Nonlinear Simply Laced Groups
Local Langlands Conjecture nonlinear groups Kazhdan-Lusztig theory
2015/9/28
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
Some duality conjectures for finite graphs and their group theoretic consequences
finite graphs group theoretic consequences
2015/8/26
We pose some graph theoretic conjectures about duality and the diameter of maximal trees in planar graphs, and we describe innovations in the following two topics in Geometric Group Theory, where the ...
A dinner table seats k guests and holds n discrete morsels of food. Guests select morsels in turn until all are consumed. Each guest has a ranking of the morsels according to how much he would enjoy e...
A duality view of spectral methods for dimensionality reduction
Duality spectrum the nonlinear dimension reduction locally linear embedding Laplacian sparse matrix
2015/8/10
We present a unified duality view of several recently emerged spectral methods for nonlinear dimensionality reduction, including Isomap, locally linear embedding, Laplacian eigenmaps, and maximum vari...
Bounding duality gap for problems with separable objective
Convex function linear inequalities functions random algorithm terms
2015/8/7
We consider the problem of minimizing a sum of non-convex functions over a compact domain, subject to linear inequality and equality constraints. We consider approximate solutions obtained by solving ...
A strong stationary time for a Markov chain (X,) is a stopping time T
for which XT is stationary and independent of T. Such times yield sharp
bounds on certain measures of nonstationarity for X at...
Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
2015/3/25
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
Koszul duality for Operads
Koszul duality Operads
2015/3/25
This is a copy of the article by the same authors published in Duke Math. J. (1994).
A Koszul duality for props
Koszul duality props
2015/3/25
The notion of prop models the operations with multiple inputs and multiple outpus, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the Koszu...
Manin products, Koszul duality, Loday algebras and Deligne conjecture
Manin products Koszul duality Loday algebras Deligne conjecture
2015/3/25
In this article we give a conceptual definition of Manin products in any category endowed with two coherent monoidal products. This construction can be applied to associative algebras, non-symmetric o...
During the summer of 1985, after the opening ceremony of Nankai Institute of Mathematics,a beautiful lecture of S.-S. Chern on Chern classes and the Atiyah-Singer index formula introduced me into the ...