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Wow, so many minimal surfaces!
Description:  Minimal surfaces are ubiquitous in geometry and applied science but their existence theory is rather mysterious. For instance, Yau in 1982 conjectured that any 3-manifold admits infinitely many closed minimal surfaces but the best one knows is the existence of at least three.

After a brief historical account, I will talk about my ongoing work with Marques and the progress we made on this question in our recent work with Irie and Song: we showed that for generic metrics, minimal surfaces are dense and equidistributed.

Start Date:  2018-03-21
Start Time:   15:00
Speaker:  André Neves (Univ. of Chicago, USA)
Institution:  University of Chicago, USA
Place:  Room 2.4, DMat
Biography:  André Arroja Neves (born 1975, Lisbon) is a Portuguese mathematician and a Professor at the University of Chicago.

Jointly with Hugh Bray, they computed the Yamabe invariant of RP3. In 2012, jointly with Fernando Codá Marques, they solved the Willmore conjecture (Tom Willmore, 1965). In the same year, jointly with Ian Agol and Fernando Codá Marques, they solved the Freedman-He-Wang conjecture (Freedman-He-Wang, 1994). In 2017, jointly with Kei Irie and Fernando Codá Marques, they solved Yau's conjecture (Yau, 1982) in the generic case.

He was awarded the Philip Leverhulme Prize in 2012, the LMS Whitehead Prize in 2013, invited speaker at the International Congress of Mathematicians in Seoul in 2014, and the Royal Society Wolfson Research Merit Award in 2015. In November 2015 he was awarded a New Horizons in Mathematics Prize, "for outstanding contributions to several areas of differential geometry, including work on scalar curvature, geometric flows, and his solution with Codá Marques of the 50-year-old Willmore Conjecture". Jointly with Fernando Codá Marques he was awarded the 2016 Oswald Veblen Prize in Geometry.
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