BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Chiranjib Mukherjee (University of Münster) DTSTART:20200701T123000Z DTEND:20200701T133000Z DTSTAMP:20260513T204521Z UID:CMI/19 DESCRIPTION:Title: The Kardar-Parisi-Zhang equation in $d\\geq 3$ and the Gaussian free field\nby Chiranjib Mukherjee (University of Münster) as part of CMI seminar series\n\n\nAbstract\nThe Kardar-Parisi-Zhang (KPZ) equation is a singular stochastic partial differential equation (SPDE) and belongs to a large cl ass of models known as the KPZ universality class\, which is believed to e xhibit very different behavior than Gaussian universality class and descri be \nthe long-time of a wide class of systems including some noisy SPDEs\, driven lattice gases\, randomly growing interfaces and directed polymers in random media. In spatial dimension one\, recently this class has been s tudied extensively based on approximations by exactly solvable models. wh ich no longer exist if perturbations appear in the approximating models\, or when higher dimensional models are investigated. When the spatial dime nsion is at least three\, it was conjectured that two disjoint universalit y classes co-exist when the long-time/large-scale behavior of the solution s are studied. We will report some recent progress along these directions. \n LOCATION:https://researchseminars.org/talk/CMI/19/ END:VEVENT END:VCALENDAR