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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Algebraic Structures from Integral Equations
积分方程 代数结构 代数分析
2023/11/29
Even though the research style of algebra and analysis are quite different, many algebraic structures naturally arose from analysis, differential equations and integral equations, inspiring further ap...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：t-stabilities and t-structures for the weighted projective line of type (2)
加权投影线 t-稳定性 t-结构
2023/11/13
We focus on the study of t-stabilities on a triangulated category in the sense of Gorodentsev, Kuleshov and Rudakov. We give an equivalent description for the nest t-stabilities on certain triangulate...
Workshop on Structures in Enumerative Geometry
Workshop Structures in Enumerative Geometry
2017/12/20
The purpose of the workshop is to bring together specialists to work on understanding the many-faceted mathematical structures underlying problems in enumerative geometry. Topics represented at the wo...
第二届IMA非线性和相干结构会议（2nd IMA Conference on Nonlinearity and Coherent Structures）
第二届 IMA非线性和相干结构 会议
2017/4/24
Nonlinearity plays an important role in many fields of Science, Engineering and Technology.The aim of this conference is to bring together researchers working on aspects of nonlinear phenomena and to ...
ESSENTIAL KILLING FIELDS OF PARABOLIC GEOMETRIES: PROJECTIVE AND CONFORMAL STRUCTURES
PARABOLIC GEOMETRIES PROJECTIVE
2015/10/14
We use the general theory developed in our article [1]
in the setting of parabolic geometries to reprove known results on
special in nitesimal automorphisms of projective and conformal
geometries.
CONVEX REAL PROJECTIVE STRUCTURES ON CLOSED SURFACES ARE CLOSED
REAL PROJECTIVE STRUCTURES CLOSED SURFACES
2015/9/29
T. The deformation space t(E) of convex Rp2_ structures on a closed
surface Y with X(z) < 0 is closed in the space Hom(7r, SL(3, IR))/SL(3, IR)
of equivalence classes of representations r1 (l) -- ...
CONVEX REAL PROJECTIVE STRUCTURES ON COMPACT SURFACES
PROJECTIVE STRUCTURES COMPACT SURFACES
2015/9/29
The purpose of this paper is to investigate convex real projective structures on compact surfaces. Let RP2
be the real projective plane and
PGL(3, R) the group of projective transformations RP2
—...
Compression schemes, stable definable families, and o-minimal structures
Compression schemes stable definable families o-minimal structures
2015/9/28
We show that any family of sets uniformly definable in an ominimal
structure has an extended compression scheme of size equal
to the number of parameters in the defining formula.
Mutually algebraic structures and `automatic' quantifier elimination
Mutually algebraic structures `automatic' quantifier elimination
2015/9/28
Mutually algebraic structures and `automatic' quantifier elimination.
Characterizing model completeness among mutually algebraic structures
algebraic structures model completeness
2015/9/28
We characterize when the elementary diagram of a mutually algebraic
structure has a model complete theory, and give an explicit
description of a set of existential formulas to which every formula
i...
Mutually algebraic structures and expansions by predicates
algebraic structures predicates
2015/9/28
We introduce the notions of a mutually algebraic structures and
theories and prove many equivalents. A theory T is mutually algebraic
if and only if it is weakly minimal and trivial if and only if n...
Adaptive Multiscale Detection of Filamentary Structures Embedded in a Background of Uniform Random Points
Multiscale Geometric Analysis Pattern Recognition
2015/8/21
We are given a set of n points that appears uniformly distributed in the unit square [0,1]2.
We wish to test whether the set actually is generated from a non-uniform distribution having
a small frac...
SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
Universal cycles for combinatorial structures。
ALGEBRAIC STRUCTURES ON THE TOPOLOGY OF MODULI SPACES OF CURVES AND MAPS
MODULI SPACES CURVES AND MAPS
2015/7/14
We discuss selected topics on the topology of moduli spaces
of curves and maps, emphasizing their relationwith GromovWitten theory and integrable systems