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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Modularity of WRT invariants via resurgence theory
复活理论 WRT不变量 模性
2023/11/29
We will talk about the (quantum) modularity of WRT invariants or GPPV invariants in general of Seifert fibered homology spheres. It turns out that they are related to the Stokes phenomena of the Ohtsu...
Analysis of a hyper-diverse seed dispersal network: modularity and underlying mechanisms
Birds body mass complex networks fish
2015/11/13
Mutualistic interactions involving pollination and ant-plant mutualistic networks typically feature tightly linked
species grouped in modules. However, such modularity is infrequent in seed dispersal...
ON THE MODULARITY OF ELLIPTIC CURVES OVER Q: WILD 3-ADIC EXERCISES.
Elliptic curve Galois representation modularity
2015/7/6
with c 0 mod N and d p mod N. The operators Tp for p6 jN can be simultaneously diagonalised on
the space Sk(N) and a simultaneous eigenvector is called an eigenform. If f is an eigenform then the...
MODULARITY OF CERTAIN POTENTIALLY BARSOTTI-TATE GALOIS REPRESENTATIONS
CERTAIN POTENTIALLY REPRESENTATIONS
2015/7/6
where is the reduction of . These results were subject to hypotheses on the local
behavior of at `, i.e., the restriction of to a decomposition group at `, and to
irreducibility hypotheses on...
ANOMALY CANCELLATION AND MODULARITY II: THE E8 × E8 CASE
ANOMALY CANCELLATION MODULARITY II THE E8 × E8 CASE
2018/4/19
In this paper we show that both of the Green-Schwarz anomaly factorization formulafor the gauge group E8 × E8 and the Hoˇrava-Witten anomaly factorization formula for the gaugegroup E8 can be derived ...
It has been shown that the Alvarez-Gaum′e-Witten miraculous anomaly cancellation formula in type IIB superstring theory and its various generalizations can be derived from modularity of certain charac...
The Emergence of Modularity in Biological Systems
Emergence of Modularity Biological Systems Populations and Evolution
2012/5/2
In this review, we discuss modularity and hierarchy in biological systems. We review examples from protein structure, genetics, and biological networks of modular partitioning of the geometry of biolo...
Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case
Modularity lifting results parallel weight one Artin conjecture tamely ramified case Number Theory
2012/4/18
We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We u...
Mod-CSA: Modularity optimization by conformational space annealing
Mod-CSA Modularity optimization conformational space annealing
2012/2/29
We propose a new modularity optimization method, Mod-CSA, based on stochastic global optimization algorithm, conformational space annealing (CSA). Our method outperforms simulated annealing in terms o...
Limits of modularity maximization in community detection
networks community detection modularity Social and Information Networks
2011/8/3
Abstract: Modularity maximization is the most popular technique for the detection of community structure in graphs. The resolution limit of the method is supposedly solvable with the introduction of m...
Identifying and understanding modular organizations is centrally important in the study of complex systems. Several approaches to this problem have been advanced, many framed in information-theoretic ...
Stochastic kinetic models: Dynamic independence, modularity and graphs
Stochastic kinetic models Dynamic independence modularity graphs
2010/11/16
The dynamic properties and independence structure of stochastic kinetic models (SKMs) are analyzed. An SKM is a highly multivariate jump process used to model chemical reaction networks, particularly ...
Symmetry constraints and modularity:tools to model inorganic crystal structures
symmetry constraints inorganic crystal structures
2011/11/11
Symmetry constraints and modularity:tools to model inorganic crystal structures.