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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Invariant Geometric Flows in Affine-related Geometries
仿射 相关几何 不变几何流
2023/4/26
In this talk, we are mainly concerned with invariant geometric flows in affine-related geometries including centro-equiane, centro-affine, affine and affine-symplectic geometries. First, we show that ...
RETRIEVAL OF AEROSOL PHASE FUNCTION AND POLARIZED PHASE FUNCTION FROM POLARIZATION OF SKYLIGHT FOR DIFFERENT OBSERVATION GEOMETRIES
Aerosol Polarization Phase function Polarized phase function Retrieval Sun-sky radiometer
2018/5/14
The phase function and polarized phase function are important optical parameters, which describe scattering properties of atmospheric aerosol particles. Polarization of skylight induced by the scatter...
2017复杂几何形状流动的先进模型和方法研讨会（Minisymposia：Advanced models and methods for flows in complex geometries）
2017 复杂几何形状 流动 先进模型 方法 研讨会
2017/5/23
A wide range of applications requires an accurate description of the physical phenomena occurring in complex geometrical domains. The exploitation of subsurface resources or the geological disposal of...
STRONGLY ESSENTIAL FLOWS ON IRREDUCIBLE PARABOLIC GEOMETRIES
STRONGLY ESSENTIAL FLOWS GEOMETRIES
2015/10/14
We study the local geometry of irreducible parabolic geometries admitting
strongly essential
ows; these are
ows by local automorphisms with higher-order xed
points. We prove several new rigidit...
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.
We study vector elds generating a local
ow by automorphisms of a parabolic geometry with higher order xed points.
We develop general tools extending the techniques of [1], [2], and
[3], and we a...
A Frobenius theorem for Cartan geometries, with applications
applications Cartan geometries
2015/10/14
We prove analogues for Cartan geometries of Gromov's major theorems on automorphisms of rigid geometric structures. The starting
point is a Frobenius theorem, which says that in nitesimal automorphis...
An embedding theorem for automorphism groups of Cartan geometries
Cartan geometries embedding theorem
2015/10/14
The main motivation of this paper arises from classical questions about
actions of Lie groups preserving a geometric structure: which Lie groups can
act on a manifold preserving a given structure, a...
A fast solver for the Stokes equations with distributed forces in complex geometries
Stokes equations Fast solvers Integral equations Double-layer potential Fast multipole methods Embedded domain methods Immersed interface methods Fictitious domain methods Cartesian grid methods Moving boundaries
2015/7/14
We present a new method for the solution of the Stokes equations. The main features of our method are: (1) it can be applied to arbitrary geometries in a black-box fashion; (2) it is second-order accu...
Sub-Geometries of Lie Sphere Differential Geometry
Sub-Geometries Lie Sphere Differential Geometry
2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
Diffusion and binding of finite-size particles in confined geometries
Particles airtight environment biological technology particle size space particles interaction transmission
2014/12/19
Describing the diffusion of particles through crowded, confined environments with which they can interact is of considerable biological and technological interest. Under conditions where the confineme...
Index theory for locally compact noncommutative geometries
Index theory compact noncommutative geometries Operator Algebras K-Theory and Homology
2011/8/25
Abstract: Spectral triples for nonunital algebras model locally compact spaces in noncommutative geometry. In the present text, we prove the local index formula for spectral triples over nonunital alg...
Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
Five-Brane Superpotentials Blow-Up Geometries SU(3) Structure Manifolds
2010/12/24
We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading N=1 scalar potential on the infini...
Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
Heterotic Non-Kahler Geometries Polystable Bundles Calabi-Yau Threefolds
2010/12/24
In arXiv:1008.1018 it is shown that a given stable vector bundle $V$ on a Calabi-Yau threefold $X$ which satisfies $c_2(X)=c_2(V)$ can be deformed to a solution of the Strominger system and the equat...
We study the zero point energy of massless scalar and vector fields subject to spheroidal boundary conditions. For massless scalar fields and small ellipticity the zero-point energy can be found usin...