Mathematical Modeling
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 10 - 17 (Fri.)
15:30 - 17:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)

A proposal for quantum minimal model program
Prof. Chin-Lung Wang ( Department of Mathematics, National Taiwan University )2008 - 10 - 17 (Fri.)
15:00 - 16:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Image Processing and Convex Analysis
Hao-Pin Wu ( Department of Mathematics, National Taiwan University )2008 - 10 - 17 (Fri.)
11:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)In these series talks, I will first introduce the inpainting problem and a recently developed framelet-based algorithm1. Next, I will cover some background of convex analysis, including conjugate functions, subdiffer-ential, Moreau envelope, and proximity operators2. In the last part, I will prove the convergence of a foward-backward algorithm for convex functional with nondifferential constraints2.

Hao-Pin Wu 2008-10-17
11:10:00 - 12:10:00 Image Processing and Convex Analysis308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Ying-Hong Liu 2008-10-17
12:30:00 - 14:30:00 Homogenization Theory for the Elasticity I, II308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-10-17
15:30:00 - 17:30:00 Mathematical Modeling308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Jung-Kai Chen 2008-10-17
13:30:00 - 15:00:00 Recent developments in minimal model program405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chin-Lung Wang 2008-10-17
15:00:00 - 16:30:00 A proposal for quantum minimal model program405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Norden Huang 2008-10-17
09:00:00 - 11:00:00 Introduction to HHT308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Quantitative uniqueness for the Stokes Equations
Prof. Ching-Lung Lin ( National Cheng Kung University )2008 - 10 - 16 (Thu.)
15:30 - 16:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)I would like to talk about a recent study on the local behavior of a solution to the Stokes Equations. One of the main results is the bound on the vanishing order of the pair of solution and pressure, which is a quantitative estimate of the strong unique continuation property. Our proofs use Carleman estimates with carefully chosen weights. We will derive optimal three-sphere inequalities and doubling inequalities.

PARTIAL DIFFERENTIAL EQUATIONS-I
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 10 - 16 (Thu.)
09:00 - 12:10
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Ching-Lung Lin 2008-10-16
15:30:00 - 16:30:00 Quantitative uniqueness for the Stokes Equations405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-10-16
09:00:00 - 12:10:00 PARTIAL DIFFERENTIAL EQUATIONS-I405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Introduction to HHT
Prof. Norden E. Huang ( Research Center for Adaptive Data Analysis, National Central University )2008 - 10 - 15 (Wed.)
09:00 - 11:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Norden Huang 2008-10-15
09:00:00 - 11:00:00 Introduction to HHT308 , 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 - 10 - 14 (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。

A resent result of Phong on Kähler-Ricci flow
Dr. Jun-Nan Tsai ( Department of Mathematics, National Taiwan University )2008 - 10 - 14 (Tue.)
14:00 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)It has been an important topic to find a Kähler-Einstein metric (Rc=cg) on a given Kähler manifold X. Several researchers have contributed to this problem. For example, Yau used continuity method to study the case when c=-1, 0 and gave a complete proof, and later his student H.D. Cao used Kähler-Ricci flow to reprove this result. In this talk, I will present Phong’s recent work in the case when c=1 and explain how it is related to Perelman’s new estimate.

Jun-Nan Tsai 2008-10-14
14:00:00 - 15:00:00 A resent result of Phong on Kähler-Ricci flow405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hidemitsu Wadade 2008-10-14
18:30:00 - 20:00:00 Golbarg-Trudinger, second order, Elliptic PDE308 , Mathematics Research Center Building (ori. New Math. Bldg.)

PARTIAL DIFFERENTIAL EQUATIONS-I
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 10 - 09 (Thu.)
09:10 - 12:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-10-09
09:10:00 - 12:00:00 PARTIAL DIFFERENTIAL EQUATIONS-I308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Norden E. Huang ( Research Center for Adaptive Data Analysis, National Central University )2008 - 10 - 08 (Wed.)
09:00 - 11:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Norden Huang 2008-10-08
09:00:00 - 11:00:00 Introduction to HHT308 , Mathematics Research Center Building (ori. New Math. Bldg.)

On the singularities of the Szego projection for ''0,q'' forms
Dr. Chin-Yu Hsiao ( École Polytechnique, France & Göteborgs universitet, Sweden )2008 - 10 - 07 (Tue.)
14:00 - 15:50
308, Mathematics Research Center Building (ori. New Math. Bldg.)In this work we completely study the heat equation method of Menikoff-Sjostrand and apply it to the Kohn Laplacian defined on a compact orientable connected CR manifold. We then get the full asymptotic expansion of the Szego projection for (0,q) forms. This generalizes a result of Boutet de Monvel and Sjostrand for (0,0) forms. Our mail tool is Fourier integral operators with complex valued phase functions of Melin and Sjostrand. We hope that this talk can serve as an introduction to certain micolocal techniques with applications to CR geometry and complex geometry.

Golbarg-Trudinger, second order, Elliptic PDE
Dr. Hidemitsu Wadade ( Math. Division, NCTS/Taipei & Taida Institute for Mathematical Sciences )2008 - 10 - 07 (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。

Hidemitsu Wadade 2008-10-07
18:30:00 - 20:00:00 Golbarg-Trudinger, second order, Elliptic PDE308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chin-Yu Hsiao 2008-10-07
14:00:00 - 15:50:00 On the singularities of the Szego projection for ''0,q'' forms308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Norden E. Huang ( Research Center for Adaptive Data Analysis, National Central University )008 - 10 - 03 (Fri.)
09:00 - 11:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Online Learning with Matrix Exponentiated Gradient Updates
Dr. Hsin-Hsiung Huang ( Institute of Statistical Science , Academia Sinica )2008 - 10 - 03 (Fri.)
13:30 - 15:00
404, Freshman Classroom BuildingTsuda, Ratsch and Warmuth (2006) address the problem of learning a symmetric positive definite matrix. They offer kernelized updates which involve a calculation based on matrix logs and matrix exponentials. These updates preserve the symmetry and positive definiteness. On the other hand, Vishwanathan, Schraudolph and Smola (2006) provide an online support vector machine (SVM) that uses the stochastic meta-descent (SMD) algorithm to adapt its step size automatically. Based on their method, we derive updates that allow us to perform the step size adaptation of kernel principal component analysis (PCA). Further, the online kernel PCA is an online SVM framework to loss functions, where its gradient trace parameter is no longer a coefficient vector but an element of the RKHS.

Two-Scale Convergence and Homogenization of Periodic Structures
Prof. Jiann-Sheng Jiang ( Tung Fang Institute of Technology )2008 - 10 - 03 (Fri.)
12:30 - 14:30
308, Mathematics Research Center Building (ori. New Math. Bldg.)