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2021年3月,国际组合学及其应用协会(Institute of Combinatorics and its Applications,ICA)公布了该协会2020年度的各奖项,我校数学科学学院马杰教授荣获2020年度Hall奖。因其在极值概率图论和结构图论所取得的成果,马杰教授获得了2020年度Hall奖。
EXOTIC GALILEAN SYMMETRY NON-COMMUTATIVITY & THE HALL EFFECT
EXOTIC GALILEAN NON-COMMUTATIVITY & THE HALL EFFECT
2015/3/19
EXOTIC GALILEAN SYMMETRY NON-COMMUTATIVITY & THE HALL EFFECT.
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery
Chern Simons theory fractional quantum Hall effect
2015/3/19
The role of Chern Simons theory in solving the fractional quantum Hall effect mystery.
We characterize the initial positions from which the first player has a winning strategy in a certain two-player game. This provides a generalization of Hall's theorem. Vizing's edge coloring theorem ...
Hall's Condition for Partial Latin Squares
Hall's Condition Partial Latin Squares Combinatorics
2011/9/5
Abstract: Hall's Condition is a necessary condition for a partial latin square to be completable. Hilton and Johnson showed that for a partial latin square whose filled cells form a rectangle, Hall's ...
Geometric approach to Hall algebra of representations of Quivers over local ring
Quantum generalized Kac-Moody algebra Hall algebra quiver local ring
2011/2/25
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...
Vanishing integrals for Hall-Littlewood polynomials
Vanishing integrals Hall-Littlewood polynomials
2010/11/24
It is well known that if one integrates a Schur function indexed by a partition $\lambda$ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of $\lambda$ have even m...
Prize insights in probability, and one goat of a recycled error: Jason Rosenhouse's The Monty Hall Problem
Prize insights in probability recycled error
2010/11/22
The Monty Hall problem is the TV game scenario where you, the contestant, are presented with three doors, with a car hidden behind one and goats hidden behind the other two. After you select a door, t...
Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
Symplectic Fluctuations Electromagnetic Excitations Hall Droplets
2010/12/15
We show that the integer quantum Hall effect systems in plane, sphere or disc, can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a generalized Weyl–Heise...
Hall algebras of curves, commuting varieties and Langlands duality
Hall algebras of curves commuting varieties Langlands duality
2010/11/29
We construct an isomorphism between the (universal) spherical Hall algebra of a smooth projective curve of genus g and a convolution algebra in the (equivariant) K-theory of the genus g commuting vari...
On the Hall algebra of coherent sheaves on P^1 over F_1
Hall algebra coherent sheaves P^1 over F_1
2010/12/8
Using a model of schemes over F1 in the spirit of Deitmar and Haran, we study the categoryCoh(P1) of coherent sheaves onP1 overF1. This category resembles in most ways a finitary abelian category, but...
Electromagnetic Excitations of A_n Quantum Hall Droplets
Electromagnetic Excitations A_n Quantum Hall Droplets
2010/12/16
The classical description of An internal degrees of freedom is given by making use of the Fock–Bargmann analytical realization. The symplectic deformation of phase space, including the internal degree...
We describe what might be called the “Hall-fusion” bialgebra constructed from a promonoidal double, and mention the corresponding face version for probicategories.
Anti-lecture Hall Compositions and Overpartitions
Anti-lecture hall composition Rogers-Ramanujan type identity overpartition Durfee dissection
2014/6/3
We show that the number of anti-lecture hall compositions of n with the first entry not exceeding k - 2 equals the number of overpartitions of n with non-overlined parts not congruent to 0, ± 1 modulo...