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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Meromorphic differentials and Teichmüller space
亚纯微分 泰希米勒空间 全纯二次微分
2023/4/17
In the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will ...
A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
The theory of Hahn meromorphic functions, a holomorphic Fredholm theorem and its applications
Hahn meromorphic functions holomorphic Fredholm theorem its applications Classical Analysis and ODEs
2012/5/9
We introduce a class of functions near zero on the logarithmic cover of the complex plane that have convergent expansions into generalized power series. These power series are general enough to cover ...
Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation
Elliptic solutions complex quintic Ginzburg-Landau equation Classical Analysis and ODEs
2012/4/16
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromor...
Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
non-exponentially small splitting fast meromorphic perturbation Dynamical Systems
2011/9/29
Abstract: In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromo...
Projective Hulls and Characterizations of Meromorphic Functions
Projective Hulls Maximum Principle Pluripotential Theory
2011/9/16
Abstract: We give conditions characterizing holomorphic and meromorphic functions in the unit disk of the complex plane in terms of certain weak forms of the maximum principle. Our work is directly in...
Green Currents for Meromorphic Maps of Compact Kahler Manifolds
Green Currents Meromorphic Maps Compact Kahler Manifolds
2011/9/9
Abstract: We consider the dynamics of meromorphic maps of compact K\"ahler manifolds. In this work, our goal is to locate the non-nef locus of invariant classes and provide necessary and sufficient co...
Pull-back of currents by meromorphic maps
Currents Dominant meromorphic maps Intersection of currents Pullback of currents
2011/8/31
Abstract: Let $X$ and $Y$ be compact Kahler manifolds, and let $f:X\rightarrow Y$ be a dominant meromorphic map. We define a pullback operator $f^{\sharp}$ (and its local version) for currents of the ...
Properties of harmonic meromorphic functions which are starlike of complex order with respect to conjugate points
harmonic meromorphic
2010/11/1
This paper defines and investigates a class of meromorphic univalent harmonic functions that are starlike of complex order with respect to conjugate points. The authors obtain convolution and convex c...
Rigidity and absence of line fields for meromorphic and Ahlfors islands maps
Holomorphic dynamics Rigidity Meromorphic functions
2011/2/25
In this note, we give an elementary proof of the absence of invariant line fields on the conical Julia set of an analytic function of one variable. This proof applies not only to rational as well as t...
Meromorphic Extendibility and Rigidity of Interpolation
Meromorphic Extendibility Rigidity of Interpolation
2010/11/24
Let T be the unit circle, f be an \alpha-Holder continuous function on T, \alpha>1/2, and A be the algebra of continuous function in the closed unit disk \bar D that are holomorphic in D. Then f exte...
A Uniqueness Theorem for Meromorphic Mappings with Two Families of Hyperplanes
Uniqueness Theorem Meromorphic Mappings Families of Hyperplanes
2010/11/9
In this paper, we extend the uniqueness theorem for meromorphic mappings to the case where the family of hyperplanes depends on the meromorphic mapping and where the meromorphic mappings may be degen...
Lawson's genus two minimal surface and meromorphic connections
Lawson's genus two minimal surface meromorphic connections
2010/12/14
We investigate the Lawson genus 2 surface by methods from integrable system theory. We prove that the associated family of flat connections comes from a family of flat connections on a 4−punctur...
Multivalent meromorphic starlike functions with negative coefficients
Meromorphic Starlike Negative Coefficients
2010/9/13
Coefficient inequalities, distortion theorems and class preserving integral operators are obtained for p-valent meromorphic starlike functions of order α (0 ≤ α < p) with negative coefficients.
Value sharing of meromorphic functions and Fang's problem
uniqueness meromorphic function value sharing polynomial
2010/12/3
In this paper, we shall study the uniqueness problems on meromorphic functions sharing a polynomial. We give a complete answer to a problem posed by Fang Mingliang.Our results improve or generalize th...