Featured Speaker: Yair Shenfeld (MIT)

Title: The extremal structures of the Alexandrov-Fenchel inequality: convex polytopes and beyond.

Abstract:
Solutions to classical geometric variational problems are often unique and nice: the ball is the only chape which minimizes surface area among shapes of equal volume. But the solutions to the variational problems of the Alexandrov-Fenchel inequalities are conjectured to be non-unique and wild. I will talk about these variational problems, including their connections to areas outsite of convexity such as analysis and combinatorics, and how we resolved some of their conjectured (due to R. Schneider) solutions. Joint work with Ramon van Handel.

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!