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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stability conditions and quadratic differentials
稳定性条件 二次微分 三角分类
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2023/5/6
Stability conditions on triangulated categories are introduced by Bridgeland. For 3-Calabi-Yau triangulated categories from quivers with potentials, the space of stability conditions on this triangula...
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
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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 ...
EXPONENTIAL THURSTON MAPS AND LIMITS OF QUADRATIC DIFFERENTIALS
Quadratic differential decomposition limit model iteration exponential map classification
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2015/8/26
In the theory of iterated rational maps, the easiest maps to understand are postcritically finite: maps whose critical orbits are all periodic or preperiodic. These maps are also the most important ma...
Torsion and cotorsion in the sheaf of Kähler differentials on some mild singularities
Torsion cotorsion sheaf of Kä hler differentials some mild singularities
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2011/3/1
We give a criterion for the sheaf of Kähler differentials on a cone over a smooth projective variety to be torsionfree.
A geometric construction for invariant jet differentials
De Bruijn Sequence Ford sequence preference function
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2011/1/19
A nonbinary Ford sequence is a de Bruijn sequence generated by sim-ple rules that determine the priorities of what symbols are to be tried first, given an initial word of size n which is the order of ...
Elementary construction of some Jenkins-Strebel differentials
Elementary construction Jenkins-Strebel differentials
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2011/2/24
The behavior of trajectories of a regular quadratic differential on a Riemann surface is chaotic but in one case.
Explicit Jenkins-Strebel representatives of all strata of Abelian and quadratic differentials
Jenkins-Strebel Abelian and quadratic differentials
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2010/11/9
Moduli spaces of Abelian and quadratic differentials are stratified by multiplicities of zeroes; connected components of the strata correspond to ergodic components of the Teichmuller geodesic flow. ...
Some remarks on Kahler differentials and ordinary differentials in nonlinear control theory
Nonlinear systems Algebraic methods Kahler differentials Differential one-forms
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2013/9/3
In the algebraic approach to nonlinear control systems two similar notions, namely Kahler differentials and the formal vector space of differential one-forms having the properties of ordinary differen...