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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 email@example.com to get the link.