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2017年表象理论与数理物理研讨会（Workshop:Representation Theory and Mathematical Physics 2018）
2017年 表象理论与数理物理 研讨会
2017/12/20
From January 2 to January 6, 2018 there will be the workshop on "Representation Theory and Mathematical Physics 2018" taking place at the AIMS, Kigali, Rwanda.
The aim of the workshop is to present i...
THE ACTION OF THE MAPPING CLASS GROUP ON REPRESENTATION VARIETIES
MAPPING CLASS GROUP REPRESENTATION VARIETIES
2015/12/17
These notes are based on lectures given at Zhejiang University, July 14–20, 2008. My goal was to present some analytic techniques that can be used to study the action of the mapping class group on the...
THE RING OF PROJECTIVE INVARIANTS OF EIGHT POINTS ON THE LINE VIA REPRESENTATION THEORY
PROJECTIVE INVARIANTS EIGHT POINTS ON THE LINE VIA
2015/10/14
The ring of projective invariants of eight ordered points on the line is a quotient of the polynomial ring on V , where V is a fourteen-dimensional representation of S8, by an ideal I8, so the modular...
BOUNDARY BEHAVIOR OF SPECIAL COHOMOLOGY CLASSES ARISING FROM THE WEIL REPRESENTATION
BOUNDARY BEHAVIOR SPECIAL COHOMOLOGY CLASSES ARISING WEIL REPRESENTATION
2015/10/14
In our previous paper [9], we established a correspondence between vector-valued holomorphic Siegel modular forms and cohomology with local coefficients for local symmetric spaces X attached to real o...
Algorithms for Representation Theory of Real Reductive Groups
Representation Theory Real Reductive Groups
2015/9/28
The irreducible admissible representations of a real reductive group such as GL(n, R) have been classified by work of Langlands, Knapp, Zuckerman and Vogan. This classification is somewhat involved an...
Sweeping Preconditioner for the Helmholtz Equation:Hierarchical Matrix Representation
Sweeping Preconditioner Helmholtz Equation Hierarchical Matrix Representation
2015/7/14
The paper introduces the sweeping preconditioner, which is highly efficient for iterative solutions of the variable-coefficient Helmholtz equation including veryhigh-frequency problems. The first cent...
Compressed Representation of Kohn−Sham Orbitals via Selected Columns of the Density Matrix
Compressed Representation Kohn− Sham Orbitals Selected Columns Density Matrix
2015/7/14
Given a set of Kohn−Sham orbitals from an insulating system, we present a simple, robust, efficient, and highly parallelizable method to construct a set of optionally orthogonal, localized basis...
The Curvelet Representation of Wave Propagators is Optimally Sparse
Curvelet Representation Wave Propagators Optimally Sparse
2015/6/17
This paper argues that curvelets provide a powerful tool for representing very general linear symmetric systems of hyperbolic differential equations. Curvelets are a recently developed multiscale syst...
GENERALIZED RELATIVE ENTROPIES AND STOCHASTIC REPRESENTATION
GENERALIZED RELATIVE ENTROPIES STOCHASTIC REPRESENTATION
2014/4/4
We provide a stochastic interpretation of a result of decay of generalized relative entropies that was discovered by Michel,Mischler and Perthame.
A STOCHASTIC LAGRANGIAN REPRESENTATION OF THE 3-DIMENSIONAL INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
stochastic Lagrangian incompressible Navier-Stokes
2014/4/4
In this paper we derive a representation of the deterministic 3-dimensional Navier-Stokes equations based on stochastic Lagrangian paths.The particle trajectories obey SDEs driven by a uniform Wiener ...
Representation of Hamiltonian formalism in dissipative mechanical system
Classical mechanics Lagrangian function Hamiltonian function
2010/9/21
Hamiltonian mechanics is the root of classical mechanics. Hamiltonian function is the modified version of Lagrangian function which is of the first order differential equations with generalized coordi...
Ordering subsets of (partially) ordered sets: Representation theorems
partial orders ordering subsets of a poset
2010/9/20
In many practical situations, we have a (partially) ordered set V of different values. For example, we may have the set of all possible values of temperature, or the set of all possible degrees of con...
Noncommutative Positivstellensätze for pairs representation-vector
Noncommutative Positivstellensä tze pairs representation-vector
2010/11/24
We study non-commutative real algebraic geometry for a unital associative *-algebra A viewing the points as pairs ({\pi},v) where {\pi} is an unbounded *-representation of A on an inner product space...
Cut-and-Join operator representation for Kontsewich-Witten tau-function
Cut-and-Join operator representation Kontsewich-Witten tau-function
2010/12/16
In this short note we construct a simple cut-and-join operator representation for Kontsevich-Witten tau-function that is the partition function of the two-dimensional topological gravity. Our derivati...
Simple integral representation for bounded operators in topological vector spaces
Bounded Operators Weak integrals Riesz Theorem
2010/9/13
We prove that bounded operators of this class preserve the familiar operations of distribution theory, that is, the operations of derivation and Fourier transform. Also we give an application to weak ...