Workshops

2010 NCTS/TPE-TIMS Mini-Course and Workshop on Geometric and Complex Analysis

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Workshops

June 21 - July 2, 2010 
308 , Mathematics Research Center Building (ori. New Math. Bldg.)



ProgramMini-Course (June 21-25 and June 30-July 2) ,Workshop ( June 28-29)   

    The NCTS/TPE-TIMS are organizing a min-course and workshop titled GEOMETRIC AND COMPLEX ANALYSIS on June 21-July 2, 2010. The principal goal of mini-course is to present various topics of current research interest in the area of Geometric and Complex Analysis and is mainly addressed to senior undergraduate and graduate students, as well as to young researchers.

Invited SpeakersDer-Chen Chang (張德健), Georgetown University, USA
Jih-Hsin Cheng, Academia Sinica, Taiwan
Jui-Tang Chen (陳瑞堂), National Taiwan Normal University, Taiwan
River Chiang, National Cheng Kung University, Taiwan
Eric Grinberg, University of New Hampshire, USA
Andrea Fraser, Dalhousie University, Canada
Otto van Koert, Seoul National University, Korea
Takanari Saotome (早乙女飛成), OCAMI, Japan
Mei-Chi Shaw (蕭美琪), University of Notre Dame, USA
Mao-Pei Tsui (崔茂培), University of Toledo, USA
Ben Weinkove, UCSD, USA
Chin-Tung Wu (吳進通), National PingTung University of Education, Taiwan
Shihshu Walter Wei ( 魏詩曙, University of Oklahoma, USA)
 
OrganizersDer-Chen Chang (張德健), Georgetown University, USA
Shu-Cheng Chang (張樹城), National Taiwan University, Taiwan
Mao-Pei Tsui (崔茂培), University of Toledo, USA
 
SponsersTaida Institute for Mathematical Sciences(TIMS)
Department of Mathematics, National Taiwan University
Mathematics Division, National Center for Theoretical Sciences (Taipei Office)
ProgramMini- Course Program Overview
6/21 Mon.

9:30 ~ 9:50

Registration
9:50 ~ 9:55Opening speech
10:00 ~ 12:30Mao-Pei Tsui  Mean curvature flow and the defomation of map between manifolds
14:00 ~ 16:10Otto van Koert  Topics in 3-dimensional contact topology
16:30 ~ 17:30Reception
6/22 Tue. 
10:00 ~ 12:30Mei-Chi Shaw  The Cauchy-Riemann equations in complex analysis and geometry
14:00 ~ 17:30Takanari Saotome  The geometry of J-holomorphic mappings and contact metric manifolds
6/23 Wed. 
10:00 ~ 12:30Otto van Koert  Topics in 3-dimensional contact topology
14:00 ~ 16:10Mao-Pei Tsui  Mean curvature flow and the defomation of map between manifolds
16:30 ~ 17:30Jui-Tang Chen  Complete Noncompact Manifolds with Positive Spectrum
6/24 Thu.
10:00 ~ 12:30Mei-Chi Shaw  The Cauchy-Riemann equations in complex analysis and geometry
14:00 ~ 16:10Der-Chen Chang  Geometric Analysis on the Heisenberg Group (I, II, III)
16:30 ~ 17:30Jui-Tang Chen  Complete Noncompact Manifolds with Positive Spectrum
6/25 Fri.
10:00 ~ 11:00Jui-Tang Chen  Complete Noncompact Manifolds with Positive Spectrum
11:30 ~12:30Chin-Tung Wu  Geometric Problems in CR Manifold
14:00 ~ 16:10Chin-Tung Wu  Geometric Problems in CR Manifold
6/28 Mon.Workshop
13:30 ~ 14:30Mei-Chi Shaw  The Cauchy-Riemann equations in complex analysis and geometry
15:00 ~ 16:00River Chiang  Convexity package for moment maps on contact manifolds
16:10 ~ 17:10Walter Wei  F-Yang-Mills Fields, F-Harmonic Geometry, and Sharp Geometric Inequalities on Manifolds
17:10Banquet
6/29 Tue.Workshop
10:00 ~ 11:00Eric Grinberg  Integral geometry, theorems of Morera-type, and cross-sectional comparison problems
11:30 ~ 12:30Ben Weinkove  Contracting exceptional divisors by the Kahler-Ricci flow
13:30 ~ 14:30Jih-Hsin Cheng  An ADM-like mass in Cauchy-Riemann geometry
15:00 ~ 16:00Andrea Fraser  Geometric Analysis on the Heisenberg Group (I, II, III)
16:10 ~ 17:10Shu-Cheng Chang  Liouville-type estimate and weak sub-laplacian comparison theorem in a complete pseudohermitian 3-manifold
6/30 Wed. & 7/1 Thu.
10:00 ~ 12:30Problem Section
14:00 ~ 16:10Ben Weinkove  The Kahler-Ricci flow
7/2 Fri.Excursion to MaoKong

The topics of mini-courses will include

1. Kaehler Ricci Flow and Complex Monge-Ampere Equation
2. Mean Curvature Flow
3. The CR Curvature Flow
4. The CR Imbedding Problem
5. Geometry and Analysis on Heisenberg Groups
6. Classification of Contact Structures
7. The J-Holomorphic Mapping over a Strongly Pseudo-convex Manifold
8. Complete Noncompact Manifolds with Positive Spectrum
9. Integral geometry, theorems of Morera-type, and cross-sectional comparison problems

Financial Support:

NCTS/TPE will provide lodging and financial assistance. Details of lodging and financial assistance are shown below.

    1. Accommodation: 

      The NCTS/TPE Staff will make lodging reservations for out-of-town student participants, speakers and overseas speakers. Speaker lodging will be offered at Howard International House. Students will stay in our dormitory.
      Dormitory: the bedding, pillows and blankets, towels and toiletries are not provided.

    2. Domestic trips:

Students:

The actual cost of transportation by railway or long-distance buses shall be covered, however, the cost of high speed rail will not be covered. If you are applying for financial support, your bus/ train tickets or proof of payment are required. You will receive the reimbursement after the courses.
Online registration: 

Applicants can register online at following URL:  
http://www.tims.ntu.edu.tw/workshop/201006/register.php
The online registration system will be closed on June 04, 2010.
Students who have not registered by June 04, 2010 should send a request to   
cts_tpe@math.cts.ntu.edu.tw

2010 NCTS/TPE-TIMS Mini-Course and Workshop on Geometric and Complex Analysis