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".

Anatoly Kamchatnov 2008-03-05
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 - 04 (Tue.)
09:10 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Adjusted Empirical Likelihood and its Properties
Prof. Jiahua Chen ( University of British Columbia, Canada )2008 - 03 - 04 (Tue.)
14:00 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)Computing a profile empirical likelihood function, which involves constrained maximization, is a key step in applications of empirical likelihood. However, in some situations, the required numerical problem has no solution. In this case, the convention is to assign a zero value to the profile empirical likelihood. This strategy has at least two limitations. First, it is numerically difficult to determine that there is no solution secondly, no information is provided on the relative plausibility of the parameter values where the likelihood is set to zero. In this talk, we present a novel adjustment to the empirical likelihood that retains all the optimality properties, and guarantees a sensible value of the likelihood at any parameter value. Our simulation indicates that the adjusted empirical likelihood is much faster to compute than the profile empirical likelihood. The confidence regions constructed via the adjusted empirical likelihood are found to have coverage probabilities closer to the nominal levels without employing complex procedures such as Bartlett correction or bootstrap calibration. The method is also shown to be effective in solving several practical problems associated with the empirical likelihood.

Jiahua Chen 2008-03-04
14:00:00 - 15:00:00 Adjusted Empirical Likelihood and its Properties405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-03-04
09:10:00 - 12:10:00 Ricci flow 405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Integral points on homogeneous spaces(3)
Prof. Fei Xu ( Capital Normal University, China )2008 - 03 - 03 (Mon.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Fei Xu 2008-03-03
15:30:00 - 17:30:00 Integral points on homogeneous spaces(3)308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Integral points on homogeneous spaces(2)
Prof. Fei Xu ( Capital Normal University, China )2008 - 02 - 29 (Fri.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Fei Xu 2008-02-29
15:30:00 - 17:30:00 Integral points on homogeneous spaces(2)308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Jyotshana Prajapat  ( Tata Institute of Fundamental Research, India )

Prof. Ching-Lung Lin  ( National Cheng Kung University )