Informal 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.)

Informal 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.)

Seminar 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。

Some 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.)

Yu-Chao Tu 2008-03-13
19:00:00 - 20:30:00 Seminar on Differential Geometry405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Jong-Shenq Guo 2008-03-13
14:00:00 - 15:00:00 Some topics in the study of parabolic equations308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-03-13
11:10:00 - 12:20:00 Chern-Simons-Higgs Models in Superconductivity (2)308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-03-13
10:10:00 - 12:00:00 Informal Discussions405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-03-13
13:30:00 - 15:30:00 Informal Discussions405 , 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 - 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.

Anatoly Kamchatnov 2008-03-12
15:30:00 - 17:20:00 Physics and mathematics of dispersive shocks: An introduction405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ricci 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.)

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.

Mei-Chi Shaw 2008-03-11
14:00:00 - 15:00:00 The Strong Oka’s Lemma, bounded plurisubharmonic functions and the -Neumann problem308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-03-11
09:10:00 - 12:10:00 Ricci flow 405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Causality 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.)

Prof. 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.)

Jung-Chao Ban 2008-03-07
10:00:00 - 11:30:00 Thermodynamic Formalism：An Introduction308 , Mathematics Research Center Building (ori. New Math. Bldg.)

I-Liang Chern 2008-03-07
14:00:00 - 15:30:00 Causality of Wave Propagation (I)308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Churn-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.)

Blowup 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.

Prof. Yu-Chao Tu  ( University of Utah, USA )

Circular 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.)

Circular 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.)

Yu-Chao Tu 2008-03-06
13:00:00 - 14:00:00 Ricci Flow (after Cao and Zhu)103 , Old Mathematics Building

Satoshi Sasayama 2008-03-06
14:00:00 - 15:00:00 Blowup rate estimate for a system of semilinear parabolic equations308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-03-06
10:10:00 - 12:00:00 Circular consecutive choosability of graphs (I)405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Xuding Zhu 2008-03-06
13:30:00 - 15:30:00 Circular consecutive choosability of graphs (II)405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-03-06
11:10:00 - 12:20:00 Churn-Simons-Higgs Models in Superconductivity (I)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 - 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".