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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigid local systems from Geometric Langlands
几何 朗兰兹 刚性局部系统
2023/4/17
Rigid local systems over algebraic curves are those local systems determined by their local monodromies. They include many important classical local systems, such as those obtained from Bessel equatio...
A reflexion space is generalization of a symmetric space introduced by O. Loos. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate, when local reflexio...
Local pinching estimates in 3-dim Ricci flow
Local pinching estimates 3-dim Ricci flow Differential Geometry
2012/6/30
We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on a...
Local convexity properties of Apollonian and Seittenranta's metric balls
Apollonian distance Seittenranta’s distance metric ball local convexity
2012/4/17
We consider local convexity properties of the Apollonian and the Seittenranta's metric balls. The Apollonian metric balls are considered in the twice punctured space, convex and starlike domains. The ...
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
homogeneous solutions Yamabe problem spheres Differential Geometry
2011/9/21
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
Local Poincare inequalities from stable curvature conditions on metric spaces
Ricci curvature metric measure spaces geodesics Poincare inequality
2011/9/20
Abstract: We prove local Poincar\'e inequalities under various curvature-dimension conditions which are stable under the measured Gromov-Hausdorff convergence. The first class of spaces we consider is...
Local Equivalence Problem for Sub-Riemannian Structures
Sub-Riemannian Structures Differential Geometry
2011/9/15
Abstract: We solve the local equivalence problem for sub-Riemannian structures on (2n + 1)-dimensional manifolds. We show that two sub-Riemannian structures are locally equivalent if and only if? thei...
Generalized Ricci flow I: Local existence and uniqueness
Generalized Ricci flow uniformly parabolic system short-time existence Thurston’s eight geometries
2011/9/13
Abstract: In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and prove that...
The Local Product Theorem for bihamiltonian structures
The Local Product Theorem bihamiltonian structures Symplectic Geometry Differential Geometry
2011/9/2
Abstract: In this work one proves that, around each point of a dense open set (regular points), a real analytic or holomorphic bihamiltonian structure decomposes into a product of a Kronecker bihamilt...
Geometric approach to Hall algebra of representations of Quivers over local ring
Quantum generalized Kac-Moody algebra Hall algebra quiver local ring
2011/2/25
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...
On the local structure and the homology of CAT$(\kappa)$ spaces and euclidean buildings
local structure CAT$(\kappa)$ spaces euclidean buildings
2010/12/7
We prove that every open subset of a euclidean building is a finite dimensional absolute neighborhood retract. This implies in particular that such a set has the homotopy type of a finite dimensional ...
Invariant distributions on projective spaces over local fields
Buildings boundary distributions
2010/12/13
Let be an e An subgroup of PGLn+1(K), with n 2, where K is a local field with residue field of order q and let Pn K be projective n-space over K. The module of coinvariants H0(;...
Local Isoperimetric Inequalities for Sectors on Surfaces and Cones
isoperimetric cones solid angle
2007/12/11
On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also w...
专著信息
书名
Hamiltonian-preserving schemes for the Liouville equation of geometrical optics with discontinuous local wave speeds
语种
英文
撰写或编译
作者
S. Jin,X. Wen
第一作者单位
出版社
J. Computational Physics, to appe...
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
Cohomology Toric Varieties Local Monomial Supports
2010/11/1
We study the local cohomology modules H^i_B(R) for a reduced monomial ideal B in a polynomial ring R=k[X_1,...,X_n]. We consider a grading on R which is coarser than the Z^n-grading such that each com...