Dr. Yu-Yun Chen  ( National Center for Theoretical Sciences ) 

Prof. Zhen-Qing Chen  ( Department of Atmospheric Sciences, University of Washington, USA )

Differential Equation Models：Carbon Dating, Age of the Universe, HIV Modeling
Prof. Hung-Chi Kuo ( Department of Atmospheric Sciences, National Taiwan University )2008 - 06 - 06 (Fri.)
15:30 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Zhen-Qing Chen 2008-06-06
14:20:00 - 15:20:00 Heat kernel estimate for jump processes of mixed types405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yu-Yun Chen 2008-06-06
14:00:00 - 15:00:00 Synchronous reproduction and its evolution308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hung-Chi Kuo 2008-06-06
15:30:00 - 17:00:00 Differential Equation Models：Carbon Dating, Age of the Universe, HIV Modeling308 , Mathematics Research Center Building (ori. New Math. Bldg.)

June 6, 2008
Website  http://140.112.50.155/workshop/20080606.pdf

Eigenvalue problem
Mr. Jui-En Chang ( Department of Mathematics, National Taiwan University )2008 - 06 - 05 (Thu.)
14:30 - 15:30
504, Freshman Classroom Building

Lectures on Differential Geometry
Mr. Ye-Kai Wang ( Department of Mathematics, National Taiwan University )2008 - 06 - 05 (Thu.)
19:00 - 20:30
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Prof. Wen-Ching Winnie Li  ( & Pennsylvania State University, USA )

The normalized curve shortening flow and homothetic solutions
Mr. Yang-Kai Lue ( Department of Mathematics, National Taiwan University )2008 - 06 - 05 (Thu.)
15:30 - 16:30
504, Freshman Classroom Building

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 05 (Thu.)
14:10 - 17:00
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Anatomy of the Cardiovascular and Respiratory System 2. Physiology of the Cardiovascular and Respiratory System 3. Rheology of the Cardiovascular and Respiratory System 4. Liver Geometry, Functions, and Rheology 5. Imaging and 3D Reconstruction.

Jui-En Chang 2008-06-05
14:30:00 - 15:30:00 Eigenvalue problem504 , Freshman Classroom Building

Yang-Kai Lue 2008-06-05
15:30:00 - 16:30:00 The normalized curve shortening flow and homothetic solutions504 , Freshman Classroom Building

Ye-Kai Wang 2008-06-05
19:00:00 - 20:30:00 Lectures on Differential Geometry 405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Marc Thiriet 2008-06-05
14:10:00 - 17:00:00 Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Wen-Ching Li 2008-06-05
10:00:00 - 12:10:00 Mathematics and Nanoscale Self-assembly308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies
Prof. Marc Thiriet ( Université Pierre et Marie Curie (Paris 6), France )2008 - 06 - 04 (Wed.)
09:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)1. Anatomy of the Cardiovascular and Respiratory System 2. Physiology of the Cardiovascular and Respiratory System 3. Rheology of the Cardiovascular and Respiratory System 4. Liver Geometry, Functions, and Rheology 5. Imaging and 3D Reconstruction.

Marc Thiriet 2008-06-04
09:00:00 - 12:10:00 Modeling and simulations of physiological flows:-Applications to blood circulation and body respiration, -Liver blood flow and mini-invasive cancer therapies308 , 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 - 06 - 03 (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。

Prof. Jing Yu  ( Department of Mathematics, National Taiwan University & Taida Institute for Mathematical Sciences ) 

Ricci flow
Prof. Chang-Shou Lin ( Department of Mathematics, National Taiwan University )2008 - 06 - 03 (Tue.)
09:10 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)

Causality in Lorentz Manifolds
Dr. Yen-Wen Fan ( Center for Advanced Study in Theoretical Sciences, National Taiwan University )2008 - 06 - 03 (Tue.)
16:10 - 17:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Differential Expression of Microarray Time Course Data
Dr. Yu Chuan Tai ( University of California, San Francisco, USA )2008 - 06 - 03 (Tue.)
13:30 - 15:00
405, Mathematics Research Center Building (ori. New Math. Bldg.)

Folded Holomorphic Maps
Prof. Jens von Bergmann ( University of Notre Dame, USA )2008 - 06 - 03 (Tue.)
11:00 - 12:10
308, Mathematics Research Center Building (ori. New Math. Bldg.)The theory of folded holomorphic maps is a program to extend the tools of $J$--holomorphic curves to all oriented 4--manifolds by utilizing folded symplectic structures.
A folded symplectic structure on a manifold is a closed 2-form that is non-degenerate away from a real codimension 1 hypersurface ("fold"), on which its kernel gives a 1-dimensional foliation. Every oriented 4--manifold admits such a structure. Folded holomorphic maps are pairs of $J$--holomorphic maps from two halfs of a Riemann surfaces. The halfs are separated by a codimension 1 submanifold, which has image on the fold and is satisfying an appropriate boundary condition. This boundary condition constitutes the heart of the theory and can be visualized by "tunneling" in the fold, allowing maps to exit at a location that is different from where they enter the fold. We prove that under the simplifying assumption that the fold is "circle-invariant" this leads to a Fredholm problem. Such folds occur frequently. Under suitable genericity assumptions, moduli spaces of folded holomorphic maps have the expected dimension. In the case of pseudoconvex folds we show that they possess a natural compactification with boundary stratum of codimension at least 2. We will explain the theory and the mentioned results and give examples of moduli spaces of folded holomorphic maps, including moduli spaces of maps into the the 4-sphere.

Jing Yu 2008-06-03
14:00:00 - 16:00:00 Introduction to Lang-lands Program 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Jens von Bergmann 2008-06-03
11:00:00 - 12:10:00 Folded Holomorphic Maps308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Yu Chuan Tai 2008-06-03
13:30:00 - 15:00:00 Differential Expression of Microarray Time Course Data405 , Mathematics Research Center Building (ori. New Math. Bldg.)

Chang-Shou Lin 2008-06-03
09:10:00 - 12:10:00 Ricci flow 308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Hidemitsu Wadade 2008-06-03
18:30:00 - 20:00:00 Golbarg-Trudinger, second order, Elliptic PDE.308 , Mathematics Research Center Building (ori. New Math. Bldg.)