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Title:
On the existence of minimal Heegaard splittings

Speaker:
Dan Ketover

Abstract:
In the 80s Pitts-Rubinstein conjectured that certain kinds of Heegaard surfaces in three-manifolds can be isotoped to index 1 minimal surfaces. I'll describe in detail a proof of their conjecture and some applications. This is joint work with Liokumovich and Song.

Link:
https://www.ias.edu/video/VariMethodGeo/2018/1002-DanKetover