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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：The category BC in terms of the Fargues–Fontaine curve
Pythagorean-Hodograph曲线 BC类别 [LB18， §5-7]
2023/5/5
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： The category BC in terms of the Fargues–Fontaine curve
法格-枫丹曲线 BC类别 [LB18， §5-7]
2023/5/6
Cover [LB18, §5-7]. Explain the key results and ideas clearly.
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 ...
ON THE ESTIMATION OF A SUPPORT CURVE OF INDETERMINATE SHARPNESS
Convergence rate curve estimation endpoint order statistic regular variation support
2015/8/25
We propose nonparametric methods for estimating the support curve of a bivariate density, when the density decreases at a rate which might vary along the curve. Attention is focussed on cases where th...
ON THE DIFFERENCE BETWEEN THE EMPIRICAL HISTOGRAM AND THE NORMAL CURVE, FOR SUMS: PART II
Histogram difference curve
2015/7/14
ON THE DIFFERENCE BETWEEN THE EMPIRICAL HISTOGRAM AND THE NORMAL CURVE, FOR SUMS: PART II.
Based on the method of reduction to absurdity, I convert the Fermat Equation into an open curve, which is inequivalent to the elliptic curve Professor Wiles deduced through “making out cubic curve”.
Functional dynamic factor models with application to yield curve forecasting
Functional data analysis expectation maximization algorithm natural cubic splines cross-validation roughness penalty
2012/11/23
Accurate forecasting of zero coupon bond yields for a continuum of maturities is paramount to bond portfolio management and derivative security pricing. Yet a universal model for yield curve forecasti...
Asymptotic formulas for curve operators in TQFT
Asymptotic formulas curve operators TQFT Geometric Topology
2012/6/21
Topological quantum field theories with gauge group $\textrm{SU}_2$ associate to each surface with marked points $\Sigma$ and each integer $r>0$ a vector space $V_r (\Sigma)$ and to each simple closed...
On a Newton filtration for functions on a curve singularity
Newton filtration functions curve singularity Algebraic Geometry
2012/6/9
In a previous paper, there was defined a multi-index filtration on the ring of functions on a hypersurface singularity corresponding to its Newton diagram generalizing (for a curve singularity) the di...
Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space
Involute curve Evolute curve Helix, Slant helix Spherical indicatrix
2012/4/16
In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute curve and evolute curve...
A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve
stratification moduli spaces symplectic orthogonal bundles curve Algebraic Geometry
2012/4/23
A symplectic or orthogonal bundle $V$ of rank $2n$ over a curve has an invariant $t(V)$ which measures the maximal degree of its isotropic subbundles of rank $n$. This invariant $t$ defines stratifica...
Sub-Riemannian structures corresponding to K鋒lerian metrics on the universal Teichmueller space and curve
Teichmuller space group of diffeomorphisms Lie-Frechet group Virasoro-Bott group Virasoro algebra sub-Riemannian geometry
2012/2/29
We consider the group of sense-preserving diffeomorphisms $\Diff S^1$ of the unit circle and its central extension, the Virasoro-Bott group, with their respective horizontal distributions chosen to be...
Based on the method of reduction to absurdity, I convert the Fermat Equation into an open curve, which is inequivalent to the elliptic curve Professor Wiles deduced through “making out cubic curve”.
The canonical ring of a 3-connected curve
algebraic curve Noether’s theorem canonical ring
2011/9/22
Abstract: Let C be a Gorenstein curve which is either reduced or contained in a smooth algebraic surface. We show that the canonical ring R(C, \omega_C)=\oplus_{k \geq 0} H^0(C, \omega_C^k) is generat...
A Random Matrix Model for Elliptic Curve $L$-Functions of Finite Conductor
Elliptic Curves Low Lying Zeros n-Level Statistics Random Matrix Theory Jacobi Ensembles Characteristic Polynomial
2011/9/19
Abstract: We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of their critical zeros away from the center of the critical strip was observed b...