Modeling and simulations of physiological flows:-Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 05 - 29 (Thu.)
14:10 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -XIV
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 29 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Lectures on Differential Geometry
Prof. Yu-Chao Tu ( University of Utah, USA )2008 - 05 - 29 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 05 - 28 (Wed.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Galois cohomology: The cohomological interpretation of Galois algebras
Prof. Ming-Chang Kang ( Department of Mathematics, National Taiwan University )2008 - 05 - 28 (Wed.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Ching-hsiao Cheng  ( Department of Mathematics, National Central University )

Schwarzschild Geometry
Mr. Po-Yao Chang ( Department of Mathematics, National Taiwan University )2008 - 05 - 27 (Tue.)
16:10 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

selected review on unified framework of discriminant analysis
Prof. Hung Chen ( Department of Mathematics, National Taiwan University )2008 - 05 - 27 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Starting with the pioneering work of Fisher (1936), discriminant analysis has become one of the most important techniques in applied statistics. The classical linear discriminant function introduced by Fisher achieves this separation by maximizing the standardized difference between the means of these two populations. On the other hand, a logistic regression with linear combination of covariates is also used. In this talk, we will present some attempts in the literature to put those approaches into a unified framework, In particular, we will address the connection between the Neyman-Pearson Lemma, ROC curve and AUC. Part of the talk is based on Eguchi and Copas (2002, 2005, 2006)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 27 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

One-Dimensional Dynamics-III
Prof. Jung-Chao Ban ( National Dong Hwa University (Meilun Campus) )2008 - 05 - 26 (Mon.)
09:30 - 11:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Universal DNA Sequence Representation and Prediction of Coding
Prof. Stephen S-T. Yau ( Tsinghua University, China )2008 - 05 - 26 (Mon.)
15:30 - 16:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)Universal DNA Sequence Representation and Prediction of Protein Coding Region" Graphical representation of DNA sequence provides a simple and intuitive way of viewing, anchoring and computing various gene structures, so a simple and non-degenerate graph representation is attractive to both biologists and computational biologists. We shall present a universal graphical representation for DNA sequence which is a generalization of S. S.-T. Yau's method. The method adopts a trigonometric function to represent the four nucleotides A, G, C, T. We exploit the frequency analysis with our representations on DNA sequences, which demonstrates possible applications in coding regions prediction of proteins. Based on the statistically experimental results from the frequency analysis, a simple coding region predictor and an optimized one are presented. Experiment on a broadly accepted ROSETTA data set demonstrates that the performance of the optimized predictor is comparable to that of the other popular methods. This is a joint work with Xianyang Jiang and Dominique Lavenier.

Explicit Construction of Moduli Space for Complete Reinhardt Domains via Bergman Functions
Prof. Stephen S-T. Yau ( Tsinghua University, China )2008 - 05 - 26 (Mon.)
14:00 - 15:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)Explicit Construction of Moduli Space for Complete Reinhardt Domains via Bergman Functions" We introduce higher order Bergman functions for complete Reinhardt domains in a variety with isolated singularities. These Bergman functions are invariant under biholomorphic maps. We use Bergman functions to determine all the biholomorphic maps between two such domains. We construct an infinite family of numerical invariants from the Bergman functions for such domains in A n-variety {(x, y, z) in C3 : xy = z^(n+1)}. These infinite family of numerical invariants are actually a complete set of invariants for either the set of all strictly pseudoconvex domains or the set of all pseudoconvex domains with real analytic boundaries in A n-variety. In particular the moduli space of these domains in A n variety is constructed explicitly as the image of this complete family of numerical invariants. Recall that A n-variety is the quotient of cyclic group of order n + 1 on C^2. We prove that the moduli space of complete Reinhardt domains in A n variety coincides with the moduli space of the corresponding complete Reinhardt domains in C^2. Since our complete family of numerical invariants are explicitly computable, we have solved the biholomorphically equivalent problem for large family of domains in C^2.

Solving optimal investment problems with Cox-Ingersoll-Ross's interest rate
Dr. Hiroaki Hata ( Academia Sinica )2008 - 05 - 23 (Fri.)
09:30 - 10:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Risk-sensitive portfolio optimization problem with finite time horizon,
2. Risk-sensitive portfolio optimization problem with infinite time horizon,
3. An "up-side chance" maximization problem of the large deviation probability with infinite time horizon. This is a joint work with Prof. Jun Sekine (Kyoto University).

Snowball Earth and Global Warming
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 05 - 23 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

生物運動力學的若干研究2008 - 05 - 23 (Fri.)
11:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Biomedical Photoacoustic Imaging Using Gold Nanoparticles
Mr. Pai-Chi Li ( Department of Mathematics, National Taiwan University )2008 - 05 - 23 (Fri.)
13:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -XII
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 22 (Thu.)
13:30 - 15:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Circular consecutive choosability of graphs -XI
Prof. Xuding Zhu ( Zhejiang Normal University, China )2008 - 05 - 22 (Thu.)
10:00 - 12:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Chern-Simons-Higgs Models in Superconductivity - Ⅷ
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 22 (Thu.)
11:10 - 12:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Comparison Theorems in Riemannian Geometry
Dr. Chih-Wei Chen ( Department of Mathematics, National Taiwan University )2008 - 05 - 22 (Thu.)
19:00 - 20:30
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 - 20 (Tue.)
18:30 - 20:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 05 - 20 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Applications of Martingale Theory to Finance
Prof. Chuan-Hsiang Han ( Department of Quantitative Finance, National Tsing Hua University )2008 - 05 - 16 (Fri.)
09:30 - 10:20
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Marriage and Divorce
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 05 - 16 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Some Effective Properties of the Periodic Structure: a Homogenization Theory Study
Prof. Ying-Hong Liu ( Research Center for Applied Sciences, Academia Sinica )2008 - 05 - 16 (Fri.)
11:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this study, we apply the homogenization theory to periodic structures and two main characteristics of that are addressed. First, we investigate band structures of phononic crystals with particular emphasis on the effects of the mass density ratio and of the contrast of elastic constants. It is shown that the density ratio rather than the contrast of elastic constants is the dominant factor that opens up phononic band gaps. Then we aimed to study propagating modes of acoustic wave in periodic solid layers in ideal or viscous fluids. In particular, at long wavelength limit, a three-scale homogenization analysis is developed to derive the effective group velocities in analytical forms for the shear-vertical (SV) as well as for the longitudinal-shear horizontal (P- SH) waves. It is found that propagating modes, i.e., modes with real group velocities may be supported even if the fluid phase is viscous. The physical background of these observations is explained by applying the theory of homogenization to investigate the group velocities of the low-frequency bands at the center of symmetry Γ.

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.)