Uniqueness and Morse index of minimal surfaces in the sphere and ball
speaker: David Wiygul (ETH Zurich)abstract: I will present some recent work with Alessandro Carlotto and Mario Schulz that in some respects builds on and in other respects complements earlier work with Nicos Kapouleas, which I will also review. Specifically, I will review the result with Kapouleas that each of Lawson's embedded minimal surfaces in the 3-sphere is uniquely determined by its topological type and symmetry group, and I will review the calculation, also with Kapouleas, of the Morse index of an infinite subfamily of these same surfaces. Then, somewhat complementarily, I will describe the construction with Carlotto and Schulz of a family of free boundary minimal surfaces in the 3-ball having the same topological types and symmetries as those of a previously identified family, and I will further describe some index estimates for our new surfaces.
timetable:
Thu 21 Sep, 9:30 - 10:30, Aula Dini
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