Geometric Flows: Theory and Computation - IPAM

Geometric Flows: Theory and Computation

February 23 - 27, 2004

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, February 23, 2004

Morning Session

08:30-09:15
Check-In/Light Breakfast (Hosted by IPAM)
09:00-09:15
Welcome and Opening Remarks
09:15-10:15
Gerhard Huisken (MPI Albert Einstein Institute)
Tutorial on the mean curvature flow
10:15-10:45
Break
10:45-11:45
Carlo Sinestrari (Universita' di Roma ``Tor Vergata'')
Mean curvature flow with surgeries
11:45-13:45
Lunch (on your own)

Afternoon Session

13:45-14:45
David Chopp (Northwestern University)
Foliations of hyperbolic space and minimal surfaces with voids
14:45-15:15
Break
15:15-16:15
Xiaobing Feng (University of Tennessee)
The Least Gradient Flow,the Total Variation flow,the Inverse Mean Curvature Flow,and Their Numerical Approximations
16:15-16:30
Break
16:30-17:30
Alberto Bartesaghi (National Institute of Health NCI)
Geometric flow for the 3D segmentation of cellular tomograms
17:30-19:00
Wine Reception (Hosted by IPAM)

Tuesday, February 24, 2004

Morning Session

08:30-09:15
Continental Breakfast
09:15-10:15
Bruce Kleiner (University of Michigan)
The structure of singularities in mean curvature flow of mean convex sets in 3-dimensions.
10:15-10:45
Break
10:45-11:45
Michael Holst (University of California, San Diego (UCSD))
Estimates and Numerical Techniques for the Constraints in General Relativity
11:45-13:45
Lunch (on your own)

Afternoon Session

13:45-14:45
Klaus Ecker (Freie Universitat, Berlin)
Local mean value formulas for geometric flow equations
14:45-15:15
Break
15:15-16:15
Li-Tien Cheng (University of California, San Diego (UCSD))
Examples in Implicit Surface Representations for Geometrically Based Motions
16:15-16:30
Break
16:30-17:30
Discussion Session: Theory and Computation

Wednesday, February 25, 2004

Morning Session

08:30-09:15
Continental Breakfast
09:15-10:15
Lei Ni (University of California at San Diego)
Entropy and monotonicity.
10:15-10:45
Break
10:45-11:45
Pengfei Guan (McMaster University)
Fully nonlinear conformal flows and application
11:45-13:45
Lunch (on your own)

Afternoon Session

13:45-14:45
Richard Hamilton (Columbia University)
Ricci flow on 3-manifolds I
14:45-15:15
Break
15:15-16:15
Richard Hamilton (Columbia University)
Ricci flow on 3-manifolds II
16:15-16:30
Break
16:30-17:30
sigurd angenent (University of Wisconsin-Madison)
Asymptotics of the neck pinch in Ricci flow

Thursday, February 26, 2004

Morning Session

08:30-09:15
Continental Breakfast
09:15-10:15
Huai-Dong Cao (Lehigh University)
Tutorial on the Kaehler-Ricci flow
10:15-10:45
Break
10:45-11:45
Xi-Ping Zhu (Zhongshan University)
The Kaehler-Ricci Flow and Geometry of Open Manifolds
11:45-13:45
Lunch (on your own)

Afternoon Session

13:45-14:45
Natasa Sesum (University of Pennsylvania)
The limiting behaviour of the Ricci flow
14:45-15:15
Break
15:15-16:15
Open Problem Session I
16:15-16:30
Break
16:30-17:30
Open Problem Session II
17:30-19:00
Dinner (Hosted by IPAM)

Friday, February 27, 2004

Morning Session

08:30-09:15
Continental Breakfast
09:15-10:15
Ki-ahm Lee (Seoul National University)
Gauss Curvature flows with flat side
10:15-10:45
Break
10:45-11:45
Peter Topping (University of Warwick)
Diameter control under Ricci Flow
11:45-13:45
Lunch (on your own)

Afternoon Session

13:45-14:45
Hugh Bray (Columbia University)
Geometric Flows in General Relativity
14:45-15:15
Break
15:15-16:15
Simon Brendle (Columbia University)
The concentration-compactness principle and the Yamabe flow in conformal geometry
16:15-16:30
Conclusion
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