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2008-03-13PDE and Mathematical PhysicsChern-Simons-Higgs Models in Superconductivity (2)
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 03 - 13 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-13Seminar on Graph ColoringInformal Discussions
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 03 - 13 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-13Seminar on Graph ColoringInformal Discussions
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 03 - 13 (Thu.)
10:10 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-13Student seminar on differential geometrySeminar on Differential Geometry
Prof. Yu-Chao Tu ( University of Utah, USA )2008 - 03 - 13 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)我們希望集合一些大學部學生或碩博士生一起學Differential Geometry,從基礎的領域:manifolds, variation,curvatures, Jacobian fields,fundamental form 等,到一些進階的領域如comparison theorems,Toponogov's theorem, Homonic functions, Eigenvalue problems, heat kernels,deformation, conformality 等。目的是對 Differential Geometry 有一個基礎而多方面的認識,瞭解其在歷史上和 現在的一些重要課題。 -
2008-03-13Seminar on Parabolic PDESome topics in the study of parabolic equations
Prof. Jong-Shenq Guo ( Tamkang University )2008 - 03 - 13 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-12Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 03 - 12 (Wed.)
15:30 - 17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we shall study nonlinear effects by Riemann's method applied to one-dimensional compressible fluid dynamics equations. Riemann invariants will be introduced for this system. Solution of the resulted equations will be found by the hodograph method. The method will be illustrated by examples of dam problem and expansion of a gas slab. -
2008-03-11Geometric AnalysisRicci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 03 - 11 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-11NCTS/TPE & TIMS Joint Geometry Seminar (2009-2010)The Strong Oka’s Lemma, bounded plurisubharmonic functions and the -Neumann problem
Prof. Mei-Chi Shaw ( University of Notre Dame, USA )2008 - 03 - 11 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this talk we discuss the Cauchy-Riemann equations on pseudoconvex domains with Lipschitz domains in complex manifolds. A unified approach to the regularity of the -Neumann problem for Lipschitz domains will be given using the strong Oka’s lemma. We will also discuss the relationship between the strong Oka’s lemma,bounded plurisubharmonic exhaustion functions and their relationship with the regularity of the -Neumann problem in complex projective spaces. Applications to the nonexistence of Levi-flat hypersurfaces in complex projective spaces will be discussed. -
2008-03-07Seminar on multiscale Analysis and ComputationCausality of Wave Propagation (I)
Prof. I-Liang Chern ( Department of Mathematics, National Taiwan University )2008 - 03 - 07 (Fri.)
14:00 - 15:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-07Thermodynamic Formalism:An IntroductionProf. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 03 - 07 (Fri.)
10:00 - 11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-06PDE and Mathematical PhysicsChurn-Simons-Higgs Models in Superconductivity (I)
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 03 - 06 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-06Seminar on Parabolic PDEBlowup rate estimate for a system of semilinear parabolic equations
Prof. Satoshi Sasayama ( Hokkaido University, Japan )2008 - 03 - 06 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)We study the blowup rate estimate for a system of semilinear parabolic equations. The blowup rate depends on whether the two components of the solution of this system blow up simultaneously or not. -
2008-03-06Ricci Flow (after Cao and Zhu)Prof. Yu-Chao Tu ( University of Utah, USA )
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2008-03-06Seminar on Graph ColoringCircular consecutive choosability of graphs (II)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 03 - 06 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-06Seminar on Graph ColoringCircular consecutive choosability of graphs (I)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 03 - 06 (Thu.)
10:10 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-06Ricci Flow (after Cao and Zhu)Yu-Chao Tu 2008-03-06
13:00:00 - 14:00:00 Ricci Flow (after Cao and Zhu)103 , Old Mathematics Building -
2008-03-05Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 03 - 05 (Wed.)
15:30 - 17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In the first part of this lecture, we shall study dispersion effects in evolution of wave packets. The notions of "group velocity" and "parabolic equation" will be introduced. From the fact that wave packets spread out with time, we conclude that nonlinear effects should be taken into account for explanation of dispersive shocks. In the second part of the lecture we shall start studying effects of nonlinearity on wave evolution. Wave breaking phenomenon will be explained first in the simplest case of Hopf equation and then it will be generalized on so called "simple waves" solution of compressible gas dynamics equations. This solution will be illustrated by itsapplication to "piston problem". -
2008-03-04Geometric AnalysisRicci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 03 - 04 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-03-04Statistical MethodologyAdjusted Empirical Likelihood and its Properties
Prof. Jiahua Chen ( University of British Columbia, Canada )2008 - 03 - 04 (Tue.)
14:00 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Computing a profile empirical likelihood function, which involves constrained maximization, is a key step in applications of empirical likelihood. However, in some situations, the required numerical problem has no solution. In this case, the convention is to assign a zero value to the profile empirical likelihood. This strategy has at least two limitations. First, it is numerically difficult to determine that there is no solution secondly, no information is provided on the relative plausibility of the parameter values where the likelihood is set to zero. In this talk, we present a novel adjustment to the empirical likelihood that retains all the optimality properties, and guarantees a sensible value of the likelihood at any parameter value. Our simulation indicates that the adjusted empirical likelihood is much faster to compute than the profile empirical likelihood. The confidence regions constructed via the adjusted empirical likelihood are found to have coverage probabilities closer to the nominal levels without employing complex procedures such as Bartlett correction or bootstrap calibration. The method is also shown to be effective in solving several practical problems associated with the empirical likelihood. -
2008-03-03Seminar of AlgebraIntegral points on homogeneous spaces(3)
Prof. Fei Xu ( Capital Normal University, China )2008 - 03 - 03 (Mon.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-29Seminar of AlgebraIntegral points on homogeneous spaces(2)
Prof. Fei Xu ( Capital Normal University, China )2008 - 02 - 29 (Fri.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-27Vortex condensates for relativistic abelian chern-simons model with two higgs scalar fields and two gauge fields on a torusProf. Jyotshana Prajapat ( Tata Institute of Fundamental Research, India )
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2008-02-27Quantitative uniqueness for second order elliptic operators with strongly singular coefficientsProf. Ching-Lung Lin ( National Cheng Kung University )
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2008-02-27Physics and mathematics of dispersive shock waves: An introductionPhysics and mathematics of dispersive shock waves: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 02 - 27 (Wed.)
15:30 - 17:20
402, Freshman Classroom BuildingWe study the blowup rate estimate for a system of semilinear parabolic equations. The blowup rate depends on whether the two components of the solution of this system blow up simultaneously or not. -
2008-02-27Quantitative uniqueness for second order elliptic operators with strongly singular coefficientsChing-Lung Lin 2008-02-27
14:00:00 - 15:00:00 Quantitative uniqueness for second order elliptic operators with strongly singular coefficients405 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-27Vortex condensates for relativistic abelian chern-simons model with two higgs scalar fields and two gauge fields on a torusJyotshana Prajapat 2008-02-27
11:00:00 - 12:00:00 Vortex condensates for relativistic abelian chern-simons model with two higgs scalar fields and two gauge fields on a torus308 , Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-26Geometric AnalysisRicci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 02 - 26 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-25Seminar of AlgebraIntegral points on homogeneous spaces(1)
Prof. Fei Xu ( Capital Normal University, China )2008 - 02 - 25 (Mon.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-21Seminar on Graph ColoringList circular colorings of graphs (I)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 02 - 21 (Thu.)
10:00 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.) -
2008-02-21Seminar on Graph ColoringList circular colorings of graphs (II)
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 02 - 21 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)