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Minicourse——Purity of Brauer groups: application of perfectoids
北大 Purity of Brauer groups application of perfectoids
2023/6/16
Grothendieck predicted that the cohomological Brauer group of a regular scheme X is insensitive to removing a closed subscheme Z of X of codimension>=2. By Gabber's several results, the conjecture was...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Application of algebraic curve theory to integrable systems
代数曲线理论 可积系统 紧黎曼曲面
2023/5/5
We first consider the basic theory of algebraic curves, including the compact Riemann surface, Riemann-Hurwitz formula, Baker-Akhiezer function, three kinds of Abelian differentials, the construction ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On polynomial method and its application（II）
多项式方法 应用 代数
2023/5/17
We will introduce the polynomial partitioning method which has wide applications in incidence geometry, geometric measure theory, and harmonic analysis. In the first course, we will present some basic...
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit
Index and Stability of Symmetric Periodic Orbits Hamiltonian Systems Application to Figure-Eight Orbit
2015/4/3
Index and Stability of Symmetric Periodic Orbits in Hamiltonian Systems with Application to Figure-Eight Orbit.
GLOBAL 3D-GRIDS BASED ON GREAT CIRCLE ARC QTM SPHERE OCTREE AND ITS APPLICATION
Discrete Global Grids (DGGs) Earth System Spatial Grid（ESSG） Quaternary Triangula Mesh (QTM) Global GIS Spatial Data Mode Digital Earth
2014/4/21
With the development of computers, network communications, scientific computing, mapping remote sensing and geographic
information technologies, Discrete Global Grids (DGGs) and Earth System Spatial...
Adaptive Set Observers Design for Nonlinear Continuous-Time Systems: Application to Fault Detection and Diagnosis
Adaptive observers nonlinear continuous-time systems fault detection interval residuals
2010/12/28
The paper deals with joint state and parameter estimation for nonlinear continuous-time systems. Based on a guaranteed LPV approximation, the set adaptive observers design problem is solved avoiding t...
A Gaussian estimate for the Heat Kernel on differential forms and application to the Riesz transform
Gaussian the Heat Kernel differential forms
2010/11/24
Let $(M^m,g)$ be a m-dimensional complete Riemannian manifold which satisfies the n-Sobolev inequality and on which the volume growth is comparable to the one of $\R^n$ for big balls; if the Hodge Lap...
Application of Operator Splitting to Solve Reaction Diffusion Equations
Solve Reaction Diffusion Equations math
2010/11/24
Approximate solutions of the Fisher equation obtained by different splitting methods are investigated. The error of this nonlinear problem is analyzed. The order of different splitting methods coupled...
Vandermonde factorizations of a regular Hankel matrix and their application on the computation of Bézier curves
Vandermonde factorizations regular Hankel matrix Bézier curves
2010/11/17
In this paper, a new method to compute a B\'ezier curve of degree n = 2m-1 is introduced, here formulated as a set of points whose coordinates are calculated from two Hankel forms in $\C^m$. From Van...
Leaves and trajectories for schemes. Application to the comparison of three classical sheaves over the differential spectrum
Leaves trajectories schemes classical sheaves the differential spectrum
2010/11/15
We define leaves and trajectories for schemes endowed with a vector field. With the help of these tools, we are able to give a geometrical interpretation and to generalize several results and constru...
The Nyström method for functional quantization with an application to the fractional Brownian motion
integral equation Nyströ m method Gaussian semi-martingale functional quantization
2010/12/1
In this article, the so-called "Nyström method" is tested to compute optimal quantizers of Gaussian processes. In particular, we derive the optimal quantization of the fractional Brownian motion ...
An Application of the Generalized Maligranda-Orlicz's Lemma
anach algebra Maligranda-Orlicz
2010/1/25
Using the generalized Maligranda-Orlicz's Lemma we will show that is a Banach algebra.
Stability of N-Dimensional Linear Systems with Multiple Delays and Application to Synchronization
Chaos synchronization multi-delay linear systems stability
2007/12/11
This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensio...
A Representation of the Lorentz Spin Group and its Application
Lorentz spin group representation Yang--Mills equation
2007/12/11
For an integer $m \geq 4$, we define a set of $ 2^{[\frac m2]}\times 2^{[\frac m2]}$ matrices $\gamma_j(m), (j=0,1,\ldots,m-1)$ which satisfy $ \gamma_j(m)\gamma_k(m)+\gamma_k(m)\gamma_j(m)=2\eta_{jk}...
Covering Lemma on the Unit Sphere and Application to the Fourier--Laplace Convergence
sphere covering lemma Fourier--Laplace series a.e. convergence
2007/12/11
A covering lemma on the
unit sphere is established and then is applied to establish an
almost everywhere convergence test of Marcinkiewicz type for the
Fourier--Laplace series on the unit sphere wh...