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Geometric Analysis Seminar

Speaker: Giada Franz (MIT)

Title: Construction and properties of free boundary minimal surfaces
Abstract: A free boundary minimal surface (FBMS) in a given Riemannian manifold is a critical point of the area functional with respect to variations that constrain its boundary to the boundary of the ambient manifold.
We will talk about the existence of FBMS, with particular emphasis on an equivariant min-max method and on the computation of the Morse index (i.e., the number of directions in which the area decreases at second order) of the constructed FBMS. Moreover, we will discuss some existing results relating the Morse index of a FBMS and its topology.

Wednesday, December 6, 2023 at 4:10pm to 5:00pm

Ayres Hall, Room 112
1403 Circle Drive, Knoxville, TN 37996

Event Type

Lectures & Presentations

Topic

Science

Audience

Current Students

Department
Mathematics
Contact Name

Theodora Bourni

Contact Email

tbourni@utk.edu

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