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SUMMARY:Christian Brennecke (Harvard University)
DTSTART:20201207T160000Z
DTEND:20201207T170000Z
DTSTAMP:20260423T035606Z
UID:GAuS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GAuS/2/">Bos
 e-Einstein Condensation beyond the Gross-Pitaevskii Regime</a>\nby Christi
 an Brennecke (Harvard University) as part of GAuS Seminar on Analysis and 
 PDE\n\n\nAbstract\nIn this talk\, I will consider Bose gases in a box of v
 olume one that interact through a two-body potential with scattering lengt
 h of the order $N^{-1+\\kappa}$\, for $\\kappa >0$. For small enough $\\ka
 ppa \\in (0\, 1/43)$\, slightly beyond the Gross-Pitaevskii regime ($\\kap
 pa =0$)\, I will explain a proof of Bose-Einstein condensation for low-ene
 rgy states that provides bounds on the expectation and on higher moments o
 f the number of excitations. The talk is based on joint work with A. Adhik
 ari and B. Schlein.\n
LOCATION:https://researchseminars.org/talk/GAuS/2/
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