**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.

Thu 21 Sep, 9:30 - 10:30, Aula Dini

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