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Min-max Theory and Geometry

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  • UserAndrĂ© Neves (Imperial College) World_link
  • ClockFriday 31 October 2014, 14:00-15:00
  • HouseCMS, MR11.

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I will talk about my recent work (with Fernando Marques) where we used Min-max Theory to settle some old open questions in Geometry: The Willmore conjecture – proposed 50 years ago, the Freedman—He—Wang conjecture for links – proposed 20 years ago (jointly with Ian Agol), and the existence of infinitely many minimal hypersurfaces in manifolds of positive Ricci curvature, which partially answers a question posed by Yau 30 years ago.

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