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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。
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 ...
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 ...
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...
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...
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...
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...
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...
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...
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.
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...
A∞型Ringel-Hall代数     箭图  路代数  量子群  Ringel-Hall代数       2010/9/7
A∞型Ringel-Hall代数。

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