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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...
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 ...
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...
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 ...
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...
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.
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 ...
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...
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 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...
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...
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,...
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...
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...

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