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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Hard Lefschetz properties, complete intersections and numerical dimensions
莱夫谢茨数 性质 完整交集 数值尺寸
2023/4/19
In this talk, we discuss the positivity of complete intersections of nef classes, including sufficient and necessary characterizations of the hard Lefschetz property on a compact complex torus and the...
This paper is a commentary on the experimental observation observa-
tions of Bensimon et al. [1] of convection of a binary
uid mixture in a
uid annulus. They observed a convective pattern that is ...
PROPERTIES OF UNIFORM DOUBLY STOCHASTIC MATRICES
Doubly Stochastic Matrices Birkho polytope
2015/7/7
We investigate the properties of uniform doubly stochastic random matrices, that is non-negative matrices conditioned to have their rows and columns sum to 1. The rescaled marginal distributions are s...
In the absence of local lifting obstructions, the global obstruction lies in a Tate{Shafarevich
group that can be analyzed via Tate duality. But we want more, namely to preserve local
properties of ...
ARITHMETIC PROPERTIES OF THE SHIMURA-SHINTANI-WALDSPURGER CORRESPONDENCE
ARITHMETIC PROPERTIE CORRESPONDENCE
2015/7/6
We prove that the theta correspondence for the dual pair (SLg2; P B￡), for B an indeˉnite
quaternion algebra over Q, acting on modular forms of odd square-free level, preserves
rationality and p-int...
Hyperplane sections and the subtlety of the Lefschetz properties
Monomial ideal lifting Lefschetz properties hyperplane section
2011/1/21
The weak and strong Lefschetz properties are two basic properties that Artinian algebrasmay have. Both Lefschetz properties may vary under small perturbations or changes of the characteristic.
Algebraic Properties of a Disordered Asymmetric Glauber Model
Algebraic Properties Disordered Asymmetric Glauber Model
2011/1/18
We consider an asymmetric variant of disordered Gla-uber dynamics of Ising spins on a one-dimensional lattice, where each spin flips according to the relative state of the spin to its
left.
Sparse paving matroids, basis-exchange properties, and cyclic flats
Sparse paving matroids basis-exchange properties cyclic flats
2010/11/9
We provide evidence for five long-standing, basis-exchange conjectures for matroids by proving them for the enormous class of sparse paving matroids. We also explore the role that these matroids may p...
Local properties of Hilbert spaces of Dirichlet series
Local properties Hilbert spaces Dirichlet series
2010/11/19
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This ex...
Characterizations of intra-regular gamma AG-groupoids by the properties of their gamma ideals
intra-regular gamma AG-groupoids gamma ideals
2010/11/11
We have characterized an intra-regular {\Gamma}-AG^{**}-groupoids by using the properties of {\Gamma}-ideals (left, right, two-sided ), {\Gamma}-interior, {\Gamma}-quasi, {\Gamma}-bi and {\Gamma}-gene...
Random Overlap Structures: Properties and Applications to Spin Glasses
Random Overlap Structures Properties Applications Spin Glasses
2010/11/15
Random Overlap Structures (ROSt's) are random elements on the space of probability measures on the unit ball of a Hilbert space, where two measures are identified if they differ by an isometry. In spi...
Gibbs-non-Gibbs properties for evolving Ising models on trees
non-Gibbsianness Ising models tree graphs Glauber dynamics
2010/12/7
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an in nite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...
On some properties of local determinantal representations
properties local determinantal representations
2010/12/6
Matrices of locally analytic functions in two variables correspond to the maximal Cohen-Macaulay modules over plane curve singularities and to the local determinantal representations.
I would like to thank my advisor, Prof. Jaroslav Neˇsetˇril, for his lead, patience and for
fixing sometimes unbelievable mistakes I was doing (seemingly) intentionally and perpetually.
I would like...
We examine Bourbaki's function, an easily-constructed continu-ous but nowhere-di erentiable function, and explore properties including func-tional identities, the antiderivative, and the box dimension...