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HODGE TYPE THEOREMS FOR ARITHMETIC MANIFOLDS ASSOCIATED TO ORTHOGONAL GROUPS
HODGE TYPE THEOREMS ARITHMETIC MANIFOLDS ORTHOGONAL GROUPS
2015/10/14
We show that special cycles generate a large part of the cohomology of locally symmetric spaces associated to orthogonal groups. We prove in particular that classes of totally geodesic submanifolds ge...
ON THE SURJECTIVITY OF MOD REPRESENTATIONS ASSOCIATED TO ELLIPTIC CURVES
MOD REPRESENTATIONS ASSOCIATED ELLIPTIC CURVES
2015/8/26
Let E be an elliptic curve over the rationals that does not have complex multiplication. For each prime `, the action of the absolute Galois group on the `-torsion points of E can be given in terms of...
CONTINUOUS COLORINGS ASSOCIATED WITH CERTAIN CHARACTERISTICS OF THE CONTINUUM
CONTINUOUS COLORINGS ASSOCIATED CERTAIN CHARACTERISTICS
2015/8/17
A coloring c:[X]n → Z is said to be irreducible if for every Y; X of equal cardinality c00[Y ]n = Z. The focus of this note will be to show that there are continuous irreducible colorings on sets of r...
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains
Iteration theory Maslov-type index Lagrangian subspace symplectic paths and Multiplicity brake orbits in bounded convex symmetric domains
2015/4/3
Iteration theory of Maslov-type index associated with a Lagrangian subspace for symplectic paths and Multiplicity of brake orbits in bounded convex symmetric domains.
The discovery of 139 Child Non-syndromic Intellectual Disability associated genetic copy number variation loci with biological insights
Gene copy biological
2014/12/5
Intellectual disability (ID) is a highly heritable mental disease. Especially, the
underlying molecular mechanism of non-syndromic intellectual disability (NSID), a
subtype of ID with no ...
CONFORMAL INVARIANTS ASSOCIATED TO A MEASURE: CONFORMALLY COVARIANT OPERATORS
CONFORMAL INVARIANTS ASSOCIATED MEASURE CONFORMALLY COVARIANT OPERATORS
2014/4/3
In this paper we study Riemannian manifolds (Mn, g) equipped with a smooth measure m. In particular, we show that the construction of conformally covariant operators due to Graham-Jenne-Mason-Sparling...
In this note we study some conformal invariants of a Riemannanian manifold (Mn;g) equipped with a smooth measure m. In particular, we show that there is a natural de nition of the Ricci and scalar cur...
Quivers with potentials associated to triangulated surfaces, part IV: Removing boundary assumptions
Quivers potentials triangulated surfaces Removing boundary assumptions Combinatorics
2012/6/30
We prove that the quivers with potentials associated by the author to ideal triangulations of punctured surfaces with empty boundary are non-degenerate, provided the number of punctures is 1 or greate...
Enumerations of finite topologies associated with a finite graph
Enumerations of finite topologies finite graph Combinatorics
2012/6/19
The number of topologies and non-homeomorphic topologies on a fixed finite set are now known up to $n=18$, $n=16$ but still no complete formula yet (Sloane). There are one to one correspondence among ...
For an abelian tensor category a stack is constructed. As an application we show that our construction can be used to recover a quasi-compact separated scheme from the category of its quasi-coherent s...
Noncommutative spectral synthesis for the involutive Banach algebra associated with a topological dynamical system
Involutive Banach algebra crossed product structure of ideals spectral synthesis topological dynamical system
2012/6/12
If X is a compact Hausdorff space, supplied with a homeomorphism, then a crossed product involutive Banach algebra is naturally associated with these data. If X consists of one point, then this algebr...
Differential subordination and superordination results for an operator associated with the generalized bessel functions
Generalized Bessel functions univalent functions Hadamard product subordination superordination
2012/4/23
We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kapp...
Special representations of nilpotent Lie groups and the associated Poisson representations of current groups
Current group canonical representation special representation
2012/4/18
In this paper we describe the new model of the representations of the current groups with a semisimple Lie group of the rank one. In the earlier papers of 70-80-th (Araki, Gelfand-Graev-Vershik) had p...
On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields
Surjectivity Galois Representations Elliptic Curves over Number Fields Number Theory
2012/4/17
Given an elliptic curve $E$ over a number field $K$, the $\ell$-torsion points $E[\ell]$ of $E$ define a Galois representation $\gal(\bar{K}/K) \to \gl_2(\ff_\ell)$. A famous theorem of Serre states t...
Automorphisms of geometric structures associated to Coxeter groups
Automorphisms geometric structures associated Coxeter groups
2012/3/1
In this paper, we consider the automorphism groups of the Cayley graph with respect to the Coxeter generators and the Davis complex of an arbitrary Coxeter group. We determine for which Coxeter groups...