Room 515, Cosmology Building, NTU
Speaker(s):
Chao-Ming Lin (Ohio State University)
Wei-Bo Su (NCTS)
Chung-Jun Tsai (National Taiwan University)
Mao-Pei Tsui (National Taiwan University)
Kai-Hsiang Wang (Northwestern University)
Chen-Kuan Lee (University of Notre Dame)
Organizer(s):
Chung-Jun Tsai (National Taiwan University)
Mao-Pei Tsui (National Taiwan University)
1. Introduction & Purposes
The main objective of this summer school is to provide an introduction to modern research topics in differential geometry for students with prior knowledge of manifolds and Riemannian geometry. The curriculum will specifically address minimal submanifolds, mean curvature flow, Ricci flow, Hessian-type equations, and Ricci limiting spaces. The intended outcome is to broaden the students' perspectives and familiarize them with current research interests in the field.
2. Outline & Descriptions
The summer school will take place over four days, from July 14 to July 17, 2025, and will feature a total of 14 one-hour lectures and two hours of discussion sessions. The program will cover a range of topics, including minimal submanifolds, mean curvature flow, Ricci flow, optimal transport, and extremal Kaehler metrics.
l Chen-Kuan Lee (Notre Dame) Bernstein problem for minimal hypersurfaces
l Chao-Ming Lin (Ohio State/NTU) Introduction to extremal Kähler metrics
l Wei-Bo Su (NCTS) Introduction to the Lagrangian mean curvature flow
l Chung-Jun Tsai (NTU) Introduction to the mean curvature flow
l Mao-Pei Tsui (NTU) Introduction to the Ricci flow
l Kai-Hsiang Wang (Northwestern) Introduction to optimal transport and isoperimetric problems
3. Schedule
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Time/ Date
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July 14
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July 15
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July 16
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July 17
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10:00-11:00
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Mao-Pei Tsui
Introduction to the Ricci flow
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Chen-Kuan Lee
Bernstein problem for minimal hypersurfaces
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Chung-Jun Tsai
Introduction to the mean curvature flow
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Mao-Pei Tsui
Introduction to the Ricci flow
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11:00-11:15
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Break
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11:15-12:15
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Chung-Jun Tsai
Introduction to the mean curvature flow
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Kai-Hsiang Wang
Introduction to optimal transport and isoperimetric problems
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Wei-Bo Su
Introduction to the Lagrangian mean curvature flow
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Chung-Jun Tsai
Introduction to the mean curvature flow
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12:15-14:00
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Lunch
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14:00-15:00
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Chao-Ming Lin
Introduction to extremal Kähler metrics
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Mao-Pei Tsui
Introduction to the Ricci flow
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Chao-Ming Lin
Introduction to extremal Kähler metrics
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Chen-Kuan Lee
Bernstein problem for minimal hypersurfaces
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15:00-15:30
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Break
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15:30-16:30
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Wei-Bo Su
Introduction to the Lagrangian mean curvature flow
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Discussion
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Kai-Hsiang Wang
Introduction to optimal transport and isoperimetric problems
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Discussion
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4. Prerequisites
Smooth manifolds and Riemannian geometry
5. Registration
https://forms.gle/dPxggfHfQJNbKPKn7
Contact:
Murphy Yu (murphyyu@ncts.tw)
