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New Frontiers in Curvature: Flows, General Relativity, Minimal Submanifolds, and Symmetry August 19, 2024 to December 20, 2024
Organizers LEAD Ailana Fraser (University of British Columbia), Lan-Hsuan Huang (University of Connecticut), Richard Schoen (Stanford University), LEAD Catherine Searle (Wichita State University), Lu Wang (Yale University), Guofang Wei (University of California, Santa Barbara)
Gpr 2024 25 fall image vs2 fraser.2020.03.01
Soap bubble: equilibrium solution of the mean curvature flow and constant curvature surface.
Geometry, PDE, and Relativity are subjects that have shown intriguing interactions in the past several decades, while simultaneously diverging, each with an ever growing number of branches. Recently, several major breakthroughs have been made in each of these fields using techniques and ideas from the others.  This program is aimed at connecting various branches of Geometry, PDE, and Relativity and at enhancing collaborations across these disciplines and will include four main topics: Geometric Flows, Geometric problems in Mathematical Relativity, Global Riemannian Geometry, and Minimal Submanifolds. Specifically the program focuses on a central goal, which is to advance our knowledge toward Riemannian (sub)manifolds under geometric conditions, such as curvature lower bounds, by developing techniques in, for example, geometric flows and minimal submanifolds and further fostering new connections.
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Programmatic Workshops
August 21, 2024 - August 23, 2024 Connections Workshop: New Frontiers in Curvature & Special Geometric Structures and Analysis
August 26, 2024 - August 30, 2024 Introductory Workshop: New Frontiers in Curvature
October 21, 2024 - October 25, 2024 Recent progress on geometric analysis and Riemannian geometry