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X-WR-CALNAME:Mathematics
X-ORIGINAL-URL:https://math.ua.edu
X-WR-CALDESC:Events for Mathematics
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TZID:"America/Chicago"
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TZOFFSETFROM:-0600
TZOFFSETTO:-0500
TZNAME:CDT
DTSTART:20190310T080000
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DTSTART:20191103T070000
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DTSTART;TZID="America/Chicago":20190219T110000
DTEND;TZID="America/Chicago":20190219T120000
DTSTAMP:20190825T114529
CREATED:20190208T154000Z
LAST-MODIFIED:20190208T155343Z
UID:3763-1550574000-1550577600@math.ua.edu
SUMMARY:Research Talk - Xin Zhou\, University of California\, Santa Barbara
DESCRIPTION:Title: Multiplicity One Conjecture in Min-max theory \nAbstract: I will present a recent proof of the Multiplicity One Conjecture in Min-max theory. This conjecture was raised by Marques and Neves as the key step to establish a Morse theory for the area functional. It says that in a closed manifold of dimension between 3 and 7 with a bumpy metric\, the min-max minimal hypersurfaces associated with the volume spectrum introduced by Gromov\, Guth\, Marques-Neves are all two-sided and have multiplicity one. As direct corollaries\, it implies the generalized Yau’s conjecture for such manifolds with positive Ricci curvature\, which says that there exist a sequence of minimal hypersurfaces with area tending to infinity\, and the Weighted Morse Index Bound Conjecture by Marques and Neves. The talk will be for general audience. \n
URL:https://math.ua.edu/event/colloguium-xin-zhou-university-of-california-santa-barbara/
LOCATION:346 Gordon Palmer Hall
ORGANIZER;CN="David%20Cruz-Uribe":MAILTO:dcruzuribe at ua.edu
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