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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Projective Manifolds with Pseudoeffective Cotangent Bundle II
伪有效 余切丛 射影流形
2023/11/15
The Keller-Segel system is known to exhibit rich dynamical behaviors including singularity formation with self-similarity structure. The talk presents recent developments in the study of blowup for th...
Principal Lyapunov Exp onent and Principal Flo quet Bundle of Sto chas tic/Ra ndom Para b olic Equations
Principal Lyapunov Exp onen Principal Flo quet Bundle
2015/4/3
Problem – Extension of Principal Eigenvalue/Principal
Eigenfunction Theory for Time Independent Parabolic
Equations to Random Parabolic Equations
I Principal Eigenvalue/Principal Eigenfunction Theo...
Abstract: In this paper, we construct the index bundle gerbe of a family of self-adjoint Dirac-type operators, refining a construction of Segal. In a special case, we construct a geometric bundle gerb...
The Quillen metric, analytic torsion and tunneling for high powers of a holomorphic line bundle
Holomorphic line bundle determinant bundle analytic torsion supersymmetry quantum mechanics
2011/7/28
Let L be a line bundle over a compact complex manifold X (possibly non-Kahler) and denote by h_{L} and h_{X} fixed Hermitian metrics on L and TX, respectively. We generalize the asymptotics for the in...
Fuzzy Geometry via the Spinor Bundle, with Applications to Holographic Space-time and Matrix Theory
Fuzzy Geometry the Spinor Bundle Holographic Space-time Matrix Theory
2011/7/27
Abstract: We present a new framework for defining fuzzy approximations to geometry in terms of a cutoff on the spectrum of the Dirac operator, and a generalization of it that we call the Dirac-Flux op...
Quillen bundle and Geometric Prequantization of Non-Abelian Vortices on a Riemann surface
Quillen bundle Geometric Prequantization Non-Abelian Vortices Riemann surface
2011/3/3
In this paper we prequantize the moduli space of non-abelian vortices.We explicitly calculate the symplectic form arising from the L2 metric and we construct a prequantum line bundle whose curvature i...
Stochastic poisson equations associated to lie algebroids and some refinements of a principal bundle
stochastic Poisson equations；Lie algebroid；refinement of a principal bundle
2011/2/21
The aim of this paper is to present the stochastic Poisson equations as-sociated to Lie algebroids. The obtained results are used for determination of stochastic Poisson equations associated to a refi...
Determinant line bundle on moduli space of parabolic bundles
Parabolic bundle determinant bundle Quillen metric
2011/2/24
In [BR1], [BR2], a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it.The construction of the Hermitian structure w...
Characterizations of Projective Spaces and Hyperquadrics via Positivity Properties of the Tangent Bundle
Characterizations of Projective Spaces Hyperquadrics Positivity Properties Tangent Bundle
2011/1/20
Let X be a smooth complex projective variety. A re-cent conjecture of S. Kov´acs states that if the pth-exterior power of the tangent bundle TX contains the pth-exterior power of an am-
ple vec...
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
Dirac method symplectic submanifolds cotangent bundle of a factorizable Lie group
2010/12/27
In this work we study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these...
Dirac method and symplectic submanifolds in the cotangent bundle of a factorizable Lie group
Dirac method symplectic submanifolds cotangent bundle factorizable Lie group
2010/11/18
In this work we study some symplectic submanifolds in the cotangent bundle of a factorizable Lie group defined by second class constraints. By applying the Dirac method, we study many issues of these...
The endomorphisms monoid of a homogeneous vector bundle
endomorphisms monoid homogeneous vector bundle
2010/12/14
In this paper we give some properties of the algebraic and geometric structure of the endomorphisms monoid of a homogeneous vector bundle.
On canonical bundle formulae and subadjunctions
canonical bundle formula adjunction formula subad-junction log Fano varieties non-vanishing theorem
2010/12/9
We consider a canonical bundle formula for generi-cally finite proper surjective morphisms and obtain subadjunction formulae for minimal log canonical centers of log canonical pairs.We also treat rela...
Automorphisms of moduli spaces of symplectic bundle
Automorphisms of moduli spaces symplectic bundle
2010/12/3
Let X be an irreducible smooth complex projective curve of genus g ≥ 3. Fix a line bundle L on X. Let MSp(L) be the moduli space of symplectic bundles (E, ' : E ⊗ E → L) on X, with the symplecti...
Diagonal Lift in the Tangent Bundle of Order Two and its Applications
Tangent bundle of order two Riemannian metric Diagonal lift Levi-civita connection Killing vector field Geodesic
2010/2/26
In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T2Mn of Mn, we associate to Dg its Levi-civita connection of T2 M and we ...