Research Goals

 

SAGE provides a forum for experts in geometric analysis and related disciplines to explore open problems, further work-in-progress, and cultivate new and existing collaborations, especially across specialties. In contrast to a conference, where speakers give formal presentations of their completed results, the SAGE model invites participants to discuss ongoing, planned, and hoped-for research.

 

This year’s workshop will focus on Mean curvature flow and its stationary solutions, including recent developments in minimal surfaces, and parallels with other parabolic curvature flows.

 

Schedule

 

Wednesday, January 11

        9:30-10:00         (RLM 10.176) Welcome and registration. Coffee, tea, and breakfast tacos provided.

        10:00-11:00       (RLM 10.176) Xuan Hien Nguyen: Gluing constructions in mean curvature flow

        11:00-11:30       Discussion/break.

        11:30-12:30       (RLM 10.176) Jacob Bernstein: Variational characterization of the catenoid

        12:30-1:00         Discussion/break.

        1:00-2:30           Lunch.

        2:30-3:30           (RLM 10.176) Christine Breiner: The Free Boundary Problem in the Sphere

        3:30-4:00           Discussion/break.

        4:00-5:00           (RLM 10.176) Thomas Mettler: Exterior differential systems applied to soliton solutions of mean curvature flow

        5:00-5:30           Discussion/break.

        6:30-8:30           Welcome dinner. El Chile Café

Thursday, January 12

        9:00-9:30           (RLM 10.176) Gathering. Coffee, tea, and breakfast tacos provided.

9:30-10:30         (RLM 10.176) Kristen Moore: Geometric evolution equations and marginally outer trapped surfaces

        10:30-11:00       Discussion/break.

        11:00-12:00       (RLM 10.176) Hoeskuldur Halldorsson: Helicoidal surfaces rotating/translating under mean curvature flow

        12:00-12:30       Discussion/break.

        12:30-1:30         Lunch.

        1:30-2:30           (RLM 10.176) Leili Shahriyari: Translating graphs by mean curvature flow

        2:30-3:00           Discussion/break.

        3:00-4:00           (RLM 10.176) John Head: Mean curvature flow of two-convex hypersurfaces

        4:00-4:30           Discussion/break.

        4:30-5:30           (RLM 10.176) Rob Kusner: Soap bubbles and polynomials

        5:30-6:00           Discussion/break.

          7:00-9:00           Closing dinner. Botticelli’s South Congress

 

 

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