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UID:20251107T093946EST-6252vkLLOv@132.216.98.100
DTSTAMP:20251107T143946Z
DESCRIPTION:Title: Moments of the two-dimensional stochastic heat equation.
 \n\nAbstract: The stochastic heat equation (driven space-time white noise)
  arises from interface growth dynamics via the Kardar-Parisi-Zhang equatio
 n and from the theory of disordered systems via continuum directed random 
 polymers. Despite these physical relations\, many fundamental questions fo
 r the stochastic heat equation above one dimension remain open. In particu
 lar\, two dimensions are the critical dimensions for the stochastic heat e
 quation and are known for much more subtle properties.\n	\n	In this talk\, I
  will begin with an overview of the stochastic heat equation. Then I will 
 turn to the setting of two dimensions and explain connections between (1) 
 the moments of certain solutions from renormalizing the noise and (2) a so
 lvable quantum mechanical system given by the many-body Bose gas with delt
 a-function potentials. Accordingly\, the last part of the talk will concen
 trate on related constructions of the Bose gas dynamics\, with an emphasis
  on a Euclidean\, probabilistic analytic view.\n\nZoom link for remote acc
 ess: https://mcgill.zoom.us/j/89866454424?pwd=OGxsVTRheUtzRU9uV2JVN0VOUi8v
 Zz09\n\n\n	 \n
DTSTART:20211208T160000Z
DTEND:20211208T170000Z
LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Yu-Ting Chen (University of Victoria)
URL:/mathstat/channels/event/yu-ting-chen-university-v
 ictoria-335378
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