Narn-Rueih Shieh 2008-05-09
09:30:00 - 10:40:00 Martingales, Brownian Motions, and Levy Processes.308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Albert Fannjiang 2008-05-09
11:10:00 - 12:00:00 Imaging of Multiple Targets in Rician/Rayleigh Fading Media308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Wei-Chung Liu 2008-05-09
13:30:00 - 14:30:00 What are networks？308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-05-09
15:30:00 - 17:00:00 Marriage and Divorce308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Comparison Theorems in Riemannian Geometry
Mr. Justin Yang ( Department of Mathematics, National Taiwan University )2008 - 05 - 08 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Chern-Simons-Higgs Models in Superconductivity Ⅵ
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 08 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-05-08
11:10:00 - 12:20:00 Chern-Simons-Higgs Models in Superconductivity Ⅵ308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Justin Yang 2008-05-08
19:00:00 - 20:30:00 Comparison Theorems in Riemannian Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Physics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 05 - 07 (Wed.)
15:30 - 17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Anatoly Kamchatnov 2008-05-07
15:30:00 - 17:20:00 Physics and mathematics of dispersive shocks: An introduction 405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Golbarg-Trudinger, second order, Elliptic PDE
Dr. Hidemitsu Wadade ( Math. Division, NCTS/Taipei & Taida Institute for Mathematical Sciences )2008 - 05 - 06 (Tue.)
18:30 - 20:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)這個seminar 的目的是由一群學幾何 幾析及偏微分方程的學生組成，主要 要學習elliptic PDE 的基本理論，歡 迎有興趣的同學來參加。

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 06 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Toward the QMMP via A + B model
Prof. Chin-Lung Wang ( Department of Mathematics, National Taiwan University )2008 - 05 - 06 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Chin-Lung Wang 2008-05-06
14:00:00 - 15:00:00 Toward the QMMP via A + B model308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hidemitsu Wadade 2008-05-06
18:30:00 - 20:00:00 Golbarg-Trudinger, second order, Elliptic PDE308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-05-06
09:10:00 - 12:10:00 Ricci flow308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chaos in Deterministic Continuous Systems, Poincare and Lorenz
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 05 - 02 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-05-02
15:30:00 - 17:00:00 Chaos in Deterministic Continuous Systems, Poincare and Lorenz308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Chiung-Jue Sung  ( National Tsing Hua University )

Lectures on Differential Geometry
Mr. Yang-Kai Lue ( Department of Mathematics, National Taiwan University )2008 - 05 - 01 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Harmonic forms and Weight Poincar\'{e} inequality
Prof. Chiung-Jue Sung ( National Tsing Hua University )2008 - 05 - 01 (Thu.)
15:00 - 16:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Yang-Kai Lue 2008-05-01
19:00:00 - 20:30:00 Lectures on Differential Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chiung-Jue Sung 2008-05-01
15:00:00 - 16:00:00 Harmonic forms and Weight Poincar\'{e} inequality308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chiung-Jue Sung 2008-05-01
15:00:00 - 16:00:00 Harmonic forms and Weight Poincar\'{e} inequality308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Physics and mathematics of dispersive shocks: An introduction
Prof. Anatoly Kamchatnov ( Institute of Spectroscopy, Russian Academy of Science )2008 - 04 - 30 (Wed.)
15:30 - 17:20
405, Mathematics Research Center Building (ori. New Math. Bldg.)In this lecture, we will shall show that the KdV hierarchy has a Hamiltonian structure and all Hamiltonians commute with each other with respect to the Poisson bracket. This leads to notion of complete integrability of the KdV hierarchy equations. After that, we shall give a few simple applications of the developed theory: (1) derivation of periodic solutions (2) new simple derivation of Whitham equations (3) cnoidal wave solution of the whole hierarchy (4) Whitham equations for higher KdV equations.

Anatoly Kamchatnov 2008-04-30
15:30:00 - 17:20:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.)

An Eigenvector Variability Plot
Prof. I-Ping Tu ( Institute of Statistical Science , Academia Sinica )2008 - 04 - 29 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Principal components analysis is perhaps the most widely used method for ex-ploring multivariate data. In this talk, we present a variability plot composed of measures on the stability of each eigenvectors over samples as a data exploration tool. We also show that this variability measure gives a good measure on the intersample variability of eigenvectors through asymptotic analysis. For distinct eigenvalues, the asymptotic behavior for this variability measure is comparable to the size of the asymptotic covariance of the eigenvector in Anderson (1963). A simulation for functional data analysis with dimension p greater than sample size n is provided. The proposed variability plot is successful to distinguish the signal components, noise components and 0 eigenvalue components. Applying this method on a gene expression data set for a gastric cancer study, many hills on the proposed variability plot are observed. When the intersample variability of eigenvectors is considered, the cuto point on informative eigenvectors should not be on the top of the hill as suggested by the proposed variability plot.

Geometric aspects of random walks on a crystal lattice
Prof. Motoko Kotani ( Tohoku University, Japan )2008 - 04 - 29 (Tue.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 04 - 29 (Tue.)
09:10 - 12:10

Motoko Kotani 2008-04-29
14:00:00 - 15:00:00 Geometric aspects of random walks on a crystal lattice308 , Mathematics Research Center Building (ori. New Math. Bldg.)