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Geometry and Topology Seminar: Vladimir Medvedev, National Research University, Higher School of Economics, Moscow, On the Morse index of the critical Moebius band

November 16, 2022 | 11:00 am - 12:00 pm EST

In this talk I will show that the Morse index of the critical Moebius band in the 4-dimensional Euclidean ball equals 5. This result makes use of the quartic Hopf differential technique and a comparison theorem between the index of a free boundary minimal surface in the Euclidean ball and its spectral index. The latter also enables us to reprove a well-known result that the index of the critical catenoid in the 3-ball equals 4.
Instructions to join: Zoom invitation is sent to the geometry and topology seminar list. If you are not on the list, please, contact Peter McGrath at to get the link.


November 16, 2022
11:00 am - 12:00 pm EST
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