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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Derived Grassmannians, derived Schur functors, and their applications
派生 格拉斯曼量 舒尔函子 应用
2023/4/21
In this talk, we will revisit Grothendieck's theory of Grassmannians and flag schemes and the theory of Schur and Weyl module functors studied in $GL_n$-representation theory from theperspective of de...
2018群表示论及其应用研讨会（Introductory Workshop:Group Representation Theory and Applications）
2018 群表示论及其应用 研讨会
2017/12/20
The workshop will survey various important and active areas of the representation theory of finite and algebraic groups, and introduce the audience to several basic open problems in the area. It will ...
Second Order Hadamard Differentiability in Statistical Applications
Cramer-von Mises statistic goodness of fit test Hadamard differentiability limiting distribution linear models M-estimator statistical functionals uniform asymptotic linearity weighted empirical processes
2015/12/11
A formulation of the second-order Hadamard differentiability of (extended) statistical functionals and some related theoretical results are established. These results are applied to derive the limitin...
A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
COUNTING THE FACES OF RANDOMLY-PROJECTED HYPERCUBES AND ORTHANTS, WITH APPLICATIONS
RANDOMLY-PROJECTED ORTHANTS
2015/8/21
Let RN
+ denote the positive orthant; the expected number of k-faces of
the random cone ARN
+ obeys Efk(ARN
+)/fk(RN
+) = 1 − PN−n,N−k. The
formula applies to numerous matrix e...
Representations of matched pairs of groupoids and applications to weak Hopf algebras
groupoids and applications algebras
2015/8/14
We introduce the category of set-theoretic representations of a
matched pair of groupoids. This is a monoidal category endowed with a
monoidal functor f` to the category of quivers over the common b...
Equivariant cohomology and localization for Lie algebroids and applications
Equivariant cohomology localization Lie algebroids applications
2015/3/19
Equivariant cohomology and localization for Lie algebroids and applications.
Cousin complexes and applications
Cousin complexes uniform local cohomological annihilator Cohen-Macaulay locus local cohomology attached primes
2011/9/1
Abstract: In this thesis, the class of modules whose Cousin complexes have finitely generated cohomologies are studied as a subclass of modules which have uniform local cohomological annihilators and ...
Generalized Young and Cauchy--Bunyakowsky Inequalities with Applications: a survey
Generalized Young Cauchy--Bunyakowsky Inequalities Applications
2011/2/22
In this survey we consider generalizations for Young and Cauchy–Bunyakowsky inequalities with applications.In section 2 it is noticed that in fact there two different Young inequalities (for two numbe...
An Inverse Power Method for Nonlinear Eigenproblems with Applications in 1-Spectral Clustering and Sparse PCA
Inverse Power Method for Nonlinear Eigenproblems Applications 1-Spectral Clustering Sparse PCA
2011/3/2
Many problems in machine learning and statistics can be formulated as (generalized)eigenproblems. In terms of the associated optimization problem, computing linear eigenvectors amounts to finding crit...
Exponential Convergence Rates of Second Quantization Semigroups and Applications
Convergence rate tail norm entropy second quantization L´ evy processes
2011/2/28
Exponential convergence rates in the L2-tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This supplements the well known r...
Applications of the quadratic covariation differentiation theory: variants of the Clark-Ocone and Stroock's formulas
the quadratic covariation differentiation theory the Clark-Ocone and Stroock's formulas
2010/11/11
In a 2006 article (\cite{A1}), Allouba gave his quadratic covariation differentiation theory for It\^o's integral calculus. He defined the derivative of a semimartingale with respect to a Brownian mo...
Gradient Estimate on the Neumann Semigroup and Applications
Gradient estimate Neumann semigroup reflecting Brownian motion
2010/12/3
We prove the following sharp upper bound for the gradient of the Neumann semigroup Pt on a d-dimensional compact domain with boundary either C2- smooth or convex: k∇Ptk1→∞ ≤c t(d+1)/2
, t > 0,...
Applications of semidefinite programming to coding theory
Applications semidefinite programming to coding theory
2010/12/1
We survey recent generalizations and improvements of the linear programming method that involve semidefinite programming. A general framework using group representations and tools from graph theory is...
Some properties and applications of $F$-finite $F$-modules
properties applications of $F$-finite $F$-modules
2010/12/6
The purpose of this paper is to describe several applications of finiteness properties of F-
finite F-modules recently discovered by M. Hochster in [H] to the study of Frobenius maps
on injective hu...