Geometric Flows and Geometric Operators

seminar: The Willmore functional, a perturbative approach

speaker: Andrea Mondino (Mathematical Institute, University of Oxford)

abstract: Given a surface M immersed in a Riemannian manifold (M,g) of dimension three, the Willmore functional I is defined as I(M)=\int_M H² dS where H is the mean curvature and dS the area form given by the immersion. The critical points of I are called Willmore surfaces and the aim of the seminar is to study the existence of such surfaces. The topic is classical and has many applications (general relativity, biology, elasticity theory...); after an introduction about the employed method (it is performed a finite dimensional reduction) we will study the functional in a perturbative setting.

timetable:
Tue 12 May, 17:00 - 18:00, Sala Conferenze Centro De Giorgi
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