Home /  [Virtual] Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow


[Virtual] Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow March 21, 2022 - March 24, 2022
Parent Program: --
Series: Hot Topic, Hot Topic
Location: SLMath: Online/Virtual
Organizers Christine Breiner (Brown University), Otis Chodosh (Stanford University), Luca Spolaor (University of California, San Diego), Lu Wang (Yale University)

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This workshop will explore connections between the regularity theory of minimal surfaces and of mean curvature flow. Recent breakthroughs have improved our understanding of singularity formation in both settings but the current research trends are becoming increasingly disparate. Experts from both areas will present their research and there will be ample free time to establish connections between the topics. Bibliography
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 21, 2022
07:55 AM - 08:00 AM
08:00 AM - 08:45 AM
  Singularities and Diffeomorphisms
Tobias Colding (Massachusetts Institute of Technology)
09:00 AM - 09:45 AM
  Degeneration of 7-Dimensional Minimal Hypersurfaces with Bounded Index
Nick Edelen (University of Notre Dame)
09:45 AM - 10:15 AM
10:15 AM - 11:00 AM
  Min-Max Minimal Hypersurfaces with Higher Multiplicity
Xin Zhou (Cornell University)
11:00 AM - 11:45 AM
  Regularity of Free Boundary Minimal Surfaces in Locally Polyhedral Bomains
Chao Li (New York University, Courant Institute)
Mar 22, 2022
08:00 AM - 08:45 AM
  Free Boundary Clusters with Two Phases
Bozhidar Velichkov (Università di Pisa)
09:00 AM - 09:45 AM
  Explicit Łojasiewicz Inequalities for Shrinking Solitons
Jonathan Zhu (University of Washington)
09:45 AM - 10:15 AM
10:15 AM - 11:00 AM
  Type II Smoothing in Mean Curvature Flow
Panagiota Daskalopoulos (Columbia University)
11:00 AM - 11:45 AM
  Boundary Regularity of Area-Minimizing Currents: a Linear Model with Analytic Interface
Zihui Zhao (Johns Hopkins University)
Mar 23, 2022
08:00 AM - 08:45 AM
  The Spherical Plateau Problem
Antoine Song (University of California, Berkeley)
09:00 AM - 09:45 AM
  Ancient Solutions and Translators in Lagrangian Mean Curvature Flow
Felix Schulze (University of Warwick)
09:45 AM - 10:15 AM
10:15 AM - 11:00 AM
  Some Regularity Questions for the Special Lagrangian Equation
Connor Mooney (University of California, Irvine)
11:00 AM - 11:45 AM
  The Waist Inequality and Positive Scalar Curvature
Davi Maximo (University of Pennsylvania)
Mar 24, 2022
08:00 AM - 08:45 AM
  Entire Spacelike Hypersurfaces with Constant Curvature in Minkowski Space
Ling Xiao (University of Connecticut)
09:00 AM - 09:45 AM
  The Space of Convex Ancient Solutions to Mean Curvature Flow
Natasa Sesum (Rutgers University)
09:45 AM - 10:15 AM
10:15 AM - 11:00 AM
  Translators for Mean Curvature Flow
Brian White (Stanford University)