Mechanical and Electrical Activities of Heart
Prof. Chu-Pin Lo ( Department of Financial and Computational Mathematics, Providence University )2008 - 05 - 16 (Fri.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Heart is an important organ to work as a pump to control the blood circulation system. Three viewpoints should be made to understand the global function of heart: electrical excitation, mechanical contraction of myocardial muscle, and blood fluid dynamics. In this talk, I will focus on the mechanical and electrical parts. Note that heart is a very complex organ with multiscale phenomena, from microscopic single cell or even molecular ion channel, the mesoscopic tissue, to the macroscopic whole heart. To explore the rich phenomena of heart, some multiscale-coupling mathematical model incorporating both mechanical and electrical effects will be introduced. Such model consists of three components. The first is the bidomain or monodomain electrical equations with strain/stretch effects (mechanical-electrical coupling) on ionic currents, capacitance, and diffusion term. The second is for the electrical-mechanical coupling (so-called Excitation-Contraction Coupling, ECC), including equations describing the production of active stress. The third is the continuum-mechanics based Newton's motion equation with constitutive strain- stress (passive) relation. For the simulation issues, some numerical algorithms will be introduced, e.g. finite element, finite volume, generalized finite difference, and hybrid methods. About the software environment, I will introduce the finite-element based software "Comsol Multiphysics". To build up patient-specific model for clinical diagnosis, the issue about the generation of finite element mesh from the individual biomedical image data such as MRI will be explored. Finally, I will report some research topics in progress, such as the mechanical properties of pulmonary veins sleeves, U wave and Andersen-Tawil syndrome of ECG, and the shifting of SA node leading pacing site.

Circular consecutive choosability of graphs -IX
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 15 (Thu.)
10:00 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Chern-Simons-Higgs Models in Superconductivity Ⅶ
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 15 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Quenching in nonhomogeneous media - MEMS
Prof. Jong-Shenq Guo ( Tamkang University )2008 - 05 - 15 (Thu.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -X
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 15 (Thu.)
13:30 - 15:30
405, 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 - 14 (Wed.)
15:00 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 13 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Schwarzschild Geometry
Mr. Po-Yao Chang ( Department of Mathematics, National Taiwan University )2008 - 05 - 13 (Tue.)
16:10 - 17:00
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 - 13 (Tue.)
18:30 - 20:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Jing Yu  ( Department of Mathematics, National Taiwan University & Taida Institute for Mathematical Sciences )

One-Dimensional Dynamics Ⅱ
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 05 - 12 (Mon.)
09:30 - 11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Imaging of Multiple Targets in Rician/Rayleigh Fading Media
Prof. Albert C. Fannjiang ( University of California, Davis, USA )2008 - 05 - 09 (Fri.)
11:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)We consider imaging targets that are cluttered in a random medium. We assume only the phase information of the average Green function. We derive the stability condition NB > M for the time reversal imaging method where N is the number of antennas, B the number of frequencies and M the number of point targets. We demonstrate the method for a medium consisting of many randomly distributed particles.

Marriage and Divorce
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 05 - 09 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Martingales, Brownian Motions, and Levy Processes.
Prof. Narn-Rueih Shieh ( Department of Mathematics, National Taiwan University )2008 - 05 - 09 (Fri.)
09:30 - 10:40
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this talk, we shall talk on martingales, with view on the Doob-Meyer Decompotion. Then we talk on Brownian motion, with view on its martingale properties. Finally we introduce Levy processes via Brownian first passage times.

What are networks？
Prof. Wei-Chung Liu ( Institute of Statistical Science , Academia Sinica )2008 - 05 - 09 (Fri.)
13:30 - 14:30
308, 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.)

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.)

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.)

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.)

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.)

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.

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