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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Oka manifolds and applications (I
奥卡歧管 奥卡流形理论 奥卡-格雷特理论
2023/5/10
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On scattering for NLS on waveguide manifolds（III）
NLS 波导流形 散射
2023/5/16
In these series talks, we will give an overview for a direction of NLS results: long time behavior for NLS on waveguide manifolds (semiperiodic spaces). We will discuss the main ideas, main tools to h...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Oka manifolds and applications (I)
奥卡流形 应用 复流形
2023/5/16
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
2018组和三维流形几何研讨会（Workshop on Geometry of Groups and 3-manifolds:State of the Art and Perspectives）
2018 组和三维流形几何 研讨会
2017/12/20
The object of this week is to bring together specialists in the domains of Riemannian geometry, low-dimensional topology and geometric group theory to take stock of current interactions and encourage ...
International Conference “Analysis and PDEs on Manifolds”
International Conference Analysis and PDEs on Manifolds
2017/7/5
This conference is organized jointly by Nankai University and University of Bielefeld (Germany). We would like to attract to the conference experts working on different aspects of PDEs on manifo...
三亚国际数学论坛：Algelgeraic Topology,Geometry and Combinatorics of Manifolds
三亚国际数学论坛 Algelgeraic Topology Geometry Combinatorics of Manifolds
2017/7/3
As one of most important objects in mathematics, ‘manifold’ has provided us more and more insights and benefits. In the past half century, more and more different areas in mathematics have been inters...
THE PUZZLE CONJECTURE FOR THE COHOMOLOGY OF TWO-STEP FLAG MANIFOLDS
PUZZLE CONJECTURE TWO-STEP FLAG MANIFOLDS
2015/12/17
We prove a conjecture of Knutson asserting that the Schubert
structure constants of the cohomology ring of a two-step flag variety are equal
to the number of puzzles with specified borde...
ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
TOPOLOGICAL SYMMETRY GROUPS OF GRAPHS IN 3-MANIFOLDS
GRAPHS IN 3-MANIFOLDS SYMMETRY GROUPS
2015/12/17
We prove that for every closed, connected, orientable, irreducible 3-manifold, there exists an alternating group An which is not
the topological symmetry group of any graph embedded in the manifold.
...
For a compact 3-manifold M with arbitrary (possibly empty) boundary, we give a
parametrization of the set of conjugacy classes of boundary-unipotent representations of π1(M)
into SL(n, C). Our param...
In [11] we parametrized boundary-unipotent representations of a 3-manifold
group into SL(n; C) using Ptolemy coordinates, which were inspired by A-coordinates on
higher Teichmuller space due to Foc...
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds
deformation theory fundamental groups compact hyperbolic 3-manifolds
2015/10/14
On the deformation theory of represen tations of fundamen talgroups of compact hyprbolic 3-manifolds.
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...
CONFORMAL ACTIONS OF NILPOTENT GROUPS ON PSEUDO-RIEMANNIAN MANIFOLDS
CONFORMAL ACTIONS PSEUDO-RIEMANNIAN MANIFOLDS
2015/10/14
We study conformal actions of connected nilpotent Lie groups
on compact pseudo-Riemannian manifolds. We prove that if a type-(p,q)
compact manifold M supports a conformal action of a connected nilpo...
This course was given at ENSET Oran, November 4-9, 2006. It is
an introduction to isometric actions of Lie groups on Lorentz manifolds.
Several examples are presented, followed by general defi...