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Geometric Flows: Theory and Computation

February 23 - 27, 2004

IPAM Building
Room 1200

Printable Version

Monday, February 23, 2004

Morning Session

8:30 - 9:15 Check-In/Breakfast (Hosted by IPAM)
9:00 - 9:15 Welcome and Opening Remarks
9:15 - 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 - 1:45 Lunch (on your own)

Afternoon Session

1:45 - 2:45

David Chopp (Northwestern University)

"Foliations of hyperbolic space and minimal surfaces with voids"

2:45 - 3:15 Break
3:15 - 4:15

Xiaobing Feng (University of Tennessee)

"The Least Gradient Flow,the Total Variation flow,the Inverse Mean Curvature Flow,and Their Numerical Approximations"

4:15 - 4:30 Break
4:30 - 5:30

Alberto Bartesaghi (University of Minnesota)

"Geometric flow for the 3D segmentation of cellular tomograms"

5:30 - 7:00 Wine Reception (Hosted by IPAM)

Tuesday, February 24, 2004

Morning Session

8:30 - 9:15 Continental Breakfast
9:15 - 10:15

Bruce Kleiner (University of Michigan)

"The structure of singularities in mean curvature flow of mean convex sets in 3-dimensions."
Presentation (PDF File)

10:15 - 10:45 Break
10:45 - 11:45

Michael Holst (University of California at San Diego)

"Estimates and Numerical Techniques for the Constraints in General Relativity"

11:45 - 1:45 Lunch (on your own)

Afternoon Session

1:45 - 2:45

Klaus Ecker (Freie Universitat, Berlin)

"Local mean value formulas for geometric flow equations"

2:45 - 3:15 Break
3:15 - 4:15

Li-Tien Cheng (University of California at San Diego)

"Examples in Implicit Surface Representations for Geometrically Based Motions"

4:15 - 4:30 Break
4:30 - 5:30 Discussion Session: Theory and Computation

Wednesday, February 25, 2004

Morning Session

8:30 - 9:15 Continental Breakfast
9:15 - 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 - 1:45 Lunch (on your own)

Afternoon Session

1:45 - 2:45

Richard Hamilton (Columbia University)

"Ricci flow on 3-manifolds I"

2:45 - 3:15 Break
3:15 - 4:15

Richard Hamilton (Columbia University)

"Ricci flow on 3-manifolds II"

4:15 - 4:30 Break
4:30 - 5:30

Sigurd Angenent (University of Wisconsin)

"Asymptotics of the neck pinch in Ricci flow"


Thursday, February 26, 2004

Morning Session

8:30 - 9:15 Continental Breakfast
9:15 - 10:15

Huai-Dong Cao (IPAM)

"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"
Presentation (PDF File)

11:45 - 1:45 Lunch (on your own)

Afternoon Session

1:45 - 2:45

Natasa Sesum (Massachusetts Institute of Technology)

"The limiting behaviour of the Ricci flow"

2:45 - 3:15 Break
3:15 - 4:15 Open Problem Session I
4:15 - 4:30 Break
4:30 - 5:30 Open Problem Session II
5:30 - 7:00 Dinner (Hosted by IPAM)

Friday, February 27, 2004

Morning Session

8:30 - 9:15 Continental Breakfast
9:15 - 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 - 1:45 Lunch (on your own)

Afternoon Session

1:45 - 2:45

Hugh Bray (Columbia University)

"Geometric Flows in General Relativity"

2:45 - 3:15 Break
3:15 - 4:15

Simon Brendle (Princeton University)

"The concentration-compactness principle and the Yamabe flow in conformal geometry"

4:15 - 4:30 Conclusion

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