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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Deligne-Beilinson cohomology of the universal K3 surface
泛K3曲面 Deligne-Beilinson 同调
2023/5/15
O'Grady's generalized Franchetta conjecture is concerned with algebraic cycles of codimension 2 on the universal polarized K3 surface of genus g. This conjecture has been confirmed only for certain sm...
Towards self-organization of decaying surface corrugations: A numerical study
A numerical study self-organization
2015/12/11
We study numerically the interplay of surface topography and kinetics in the relaxation of crystal
surface corrugations below roughening in two independent space dimensions. The kinetic processes
ar...
We study liquid drops lying on a rough planar surface. The drops are minimizers of an energyfunctional that includes a random adhesion energy. We prove the existence of minimizers and the regularity o...
A faithful linear-categorical action of the mapping class group of a surface with boundary
faithful linear-categorical action mapping class group surface with boundary
2011/1/18
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
Surface Plasmons in Thin Metallic Films for Case Antisymmetrical Configuration of Magnetic Field
degenerate collisional plasma surface plasma oscillations thin metallic film
2011/1/21
For the first time it is shown that for thin metallic films thickness of which does not exceed thickness of skin – layer, the problem of description of surface plasma oscillations allows analytical so...
Instanton partition functions in N=2 SU(N) gauge theories with a general surface operator, and their W-algebra duals
Instanton partition functions N=2 SU(N) gauge theories general surface operator W-algebra duals
2011/3/2
We write down an explicit conjecture for the instanton partition functions in 4d N = 2 SU(N) gauge theories in the presence of a certain type of surface operator.
Constructions of surface bundles with rank two fundamental groups
Heegaard genus 2-generator group surface bundle
2011/2/28
We give a construction of hyperbolic 3-manifolds with rank two fundamental groups and report an experimental search to find such manifolds.Our manifolds are all surface bundles over the circle with ge...
Combinatorial Methods for Detecting Surface Subgroups in Right-Angled Artin Groups
Combinatorial Methods Surface Subgroups Right-Angled Artin Groups
2011/2/23
We give a short proof of the following theorem of Sang-hyun Kim:if A() is a right-angled Artin group with de ning graph , then A() contains a hyperbolic surface subgroup ...
Perturbations of C1-diffeomorphisms and dynamics of generic conservative diffeomorphisms of surface
C1-diffeomorphisms dynamics generic conservative diffeomorphisms of surface
2010/11/24
In the first part of this text we give a survey of the properties satisfied by the C1-generic conservative diffeomorphisms of compact surfaces. The main result that we will discuss is that a C1-generi...
Surface Gap Soliton Ground States for the Nonlinear Schrödinger Equation
Surface Gap Soliton Ground States the Nonlinear Schrö dinger Equation
2010/11/18
We consider the nonlinear Schr\"{o}dinger equation $(-\Delta +V(x))u = \Gamma(x) |u|^{p-1}u$, $x\in \R^n$ with $V(x) = V_1(x) \chi_{\{x_1>0\}}(x)+V_2(x) \chi_{\{x_1<0\}}(x)$ and $\Gamma(x) = \Gamma_1(...
We study the subgroup structure of the \'etale fundamental group $\Pi$ of a projective curve over an algebraically closed field of characteristic 0. We obtain an analog of the diamond theorem for $\P...
Dissipative models generalizing the 2D Navier-Stokes and the surface quasi-geostrophic equations
the 2D Navier-Stokes surface quasi-geostrophic equations
2010/11/8
This paper is devoted to the global (in time) regularity problem for a family of active scalar equations with fractional dissipation. Each component of the velocity field $u$ is determined by the act...
An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics
The Lattice Property I Veech Groups Coding Geodesics
2010/11/9
We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry grou...
hermodynamic formalism for the positive geodesic flow on the modular surface
hermodynamic formalism positive geodesic flow modular surface
2010/12/10
In this note we study the thermodynamic formalism for the pos-itive geodesic flow on the modular surface. We define the pressure and prove the variational principle. We also establish conditions for t...
The Chas-Sullivan conjecture for a surface of infinite genus
Chas-Sullivan conjecture surface of infinite genus
2010/12/13
Let ∞,1 be the inductive limit of compact oriented surfaces with one boundary component. We prove the center of the Goldman Lie algebra of the surface ∞,1is spanned by the constant loop. A similar s...