Featured Speaker: Keaton Naff (MIT)

Title: The planarity estimate in higher codimension mean curvature flow

Abstract:
In this talk, we will discuss the mean curvature flow of n-dimensional submanifolds in R^N satisfying a pinching condition |A|^2 < c|H|^2 introduced by Andrews and Baker (’10). We will compare these flows to flows of hypersurfaces studied in the celebrated works of Huisken (’84) and Huisken-Sinestrari (’99, ’09). Our primary goal is to discuss an estimate that quantifies the planarity of these solutions prior to singularity formation. At the end, we will discuss how the estimate can be used to understand singularity formation.

Seminar Covid Statement
A notice to non-MIT seminar participants: at this time, not all seminars are open to the general public, and access to the MIT campus is highly regulated. Please check the seminar webpage or with the event organizer and confirm whether the seminar you'd like to attend is open to non-MIT (i.e. without CovidPass) attendees.
Some seminars may offer a Zoom option for off-campus participants.
To access MIT buildings for a math seminar without MIT's CovidPass, you must be invited via a Tim Ticket ahead of time. There are no exceptions; please make sure to plan accordingly before coming to campus. To be able to activate the Tim Ticket, the attendee will need to submit an attestation about vaccination and health status and provide contact info.
Finally, a reminder to all in-person participants. MIT Covid policies must be adhered to: remember to keep your mask on while inside buildings, eating food is not allowed within lecture rooms, and if you are feeling sick on the day of the talk, please stay home!