Organizers: Ricardo Nochetto
When: Monday @ 1:30pm
Where: Math 1308

Organizer: Jacky Chong
When: Fridays @ 2pm
Where: Math 3206

Organizers: Ricardo Nochetto, Wujun Zhang
When: Fridays @ 4pm-5pm
Where: Math 1308
Keywords: Laplace-Beltrami operator, curvature, shape differential calculus, curvature, bending, constraints, isometries, finite element methods

We discuss a comprehensive approach to the formulation and discretization of geometric PDE governing processes relevant in biophysics and materials science. We start with key elements of differential geometry and shape differential calculus which enable us to compute first variations of domain and boundary functionals. We propose geometric gradient flows as a relaxation towards equilibrium and derive the corresponding dynamic equations and their finite element approximation. We apply this framework to mean curvature flow, surface diffusion, and Helfrich flow (Willmore flow with area and volume constraints). We compare the dynamics of biomembranes dictated by either relaxation or an incompressible fluid. We examine the coupling of director fields with flexible surfaces, as occur in models of surfactants and gels. We conclude with large bending deformations with isometry constraint and their application to bilayer actuators.

Organizer: Yanir Rubenstein, Bo Tian
When: Tuesdays @ 4:30pm
Where: Math 3206

Organizer: Kasso Okoudjou
When: Mondays 1pm-2pm
Where: Math 1311

Organizer: Richard Rast, Koushik Paul
When: Thursdays  @ 3:30pm-4:45pm 
Where: Math 1308

  1. Student Logic Seminar
  2. RIT on Class Field Theory
  3. RIT on Riemann Surfaces and Complex Geometry
  4. Special Lecture
  5. Student Dynamics Seminar