Submanifold Geometry, Lie Group Action and Its Applications to Theoretical Physics 2026

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Registration information will be announced later.

• Jaigyoung Choe (Korea Institute for Advanced Study (KIAS), Korea)
• Keomkyo Seo (Sookmyung Women's University, Korea)

November 21 (Saturday)

• 9:55 - 10:00 Opening Ceremony
• 10:00 - 11:00
  
• 11:15 - 12:15
  

Photo and Lunch

• 14:00 - 15:00
  
• 15:15 - 16:15
  
• 16:30 - 17:30
  

November 22 (Sunday)

• 9:50 - 10:50
  
• 11:00 - 12:00
  

Lunch

• 13:50 - 14:50
  
• 15:00 - 16:00
  
• 16:10 - 17:10
  

Banquet: 18:30-

November 23 (Monday)

• 10:00 - 11:00
  
• 11:15 - 12:15
  

Photo

Jaigyoung Choe (Korea Institute for Advanced Study (KIAS), Korea)
Title: Reflection principle across a sphere for free boundary minimal surfaces
Abstract: A Schwarz-type reflection principle is established for a minimal surface meeting a sphere orthogonally along its free boundary. The reflection is obtained under some condition on the principal curvature of the minimal surface along the boundary. As an application, we consider an embedded free boundary minimal annulus A in a ball. Suppose that the Taylor series of the principal curvature of A along its free boundary has infinite radius of convergence. Then A must be the critical catenoid.

Keomkyo Seo (Sookmyung Women's University, Korea)
Title: Rigidity Results for Steklov-Type Problems on Riemannian Manifolds
Abstract: We study sharp lower bounds for first eigenvalues of Steklov-type problems on compact Riemannian surfaces with smooth boundary. Under natural lower curvature assumptions on the Gaussian curvature of the surface and the geodesic curvature of the boundary, we obtain optimal eigenvalue estimates and characterize the equality case by the Euclidean disk. We also consider Serrin-type overdetermined boundary value problems related to Steklov eigenvalues. We present symmetry and rigidity results for overdetermined Steklov problems on domains in Riemannian manifolds with nonnegative Ricci curvature.