Ching-hsiao Cheng 2008-05-27
18:30:00 - 20:00:00 An informal talk on free boundary problems308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-05-27
09:10:00 - 12:10:00 Ricci flow 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung Chen 2008-05-27
13:30:00 - 15:00:00 selected review on unified framework of discriminant analysis405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Po-Yao Chang 2008-05-27
16:10:00 - 17:00:00 Schwarzschild Geometry405 , 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.

Jung-Chao Ban 2008-05-26
09:30:00 - 11:30:00 One-Dimensional Dynamics-III308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Stephen S-T. Yau 2008-05-26
14:00:00 - 15:00:00 Explicit Construction of Moduli Space for Complete Reinhardt Domains via Bergman Functions308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Stephen S-T. Yau 2008-05-26
15:30:00 - 16:30:00 Universal DNA Sequence Representation and Prediction of Coding308 , Mathematics Research Center Building (ori. New Math. Bldg.)

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.)

Hiroaki Hata 2008-05-23
09:30:00 - 10:20:00 Solving optimal investment problems with Cox-Ingersoll-Ross's interest rate308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Pai-Chi Li 2008-05-23
13:30:00 - 14:30:00 使用奈米金粒子之生醫光聲影像308 , Mathematics Research Center Building (ori. New Math. Bldg.)

2008-05-23
11:10:00 - 12:10:00 生物運動力學的若干研究308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-05-23
15:30:00 - 17:00:00 Snowball Earth and Global Warming308 , 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.)

Chang-Shou Lin 2008-05-22
11:10:00 - 12:20:00 Chern-Simons-Higgs Models in Superconductivity - Ⅷ308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-05-22
10:00:00 - 12:00:00 Circular consecutive choosability of graphs -XI405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-05-22
13:30:00 - 15:30:00 Circular consecutive choosability of graphs -XII405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chih-Wei Chen 2008-05-22
19:00:00 - 20:30:00 Comparison Theorems in Riemannian Geometry 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.)

Chang-Shou Lin 2008-05-20
09:10:00 - 12:10:00 Ricci flow 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hidemitsu Wadade 2008-05-20
18:30:00 - 20:00:00 Golbarg-Trudinger, second order, Elliptic PDE.308 , Mathematics Research Center Building (ori. New Math. Bldg.)