BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Bjoern Bringmann (IAS Princeton) DTSTART:20220609T150000Z DTEND:20220609T160000Z DTSTAMP:20260423T035912Z UID:AQFP/19 DESCRIPTION:Title: In variant Gibbs measures for the three-dimensional cubic nonlinear wave equa tion\nby Bjoern Bringmann (IAS Princeton) as part of Analysis\, Quantu m Fields\, and Probability\n\n\nAbstract\nIn this talk\, we prove the inva riance of the Gibbs measure for the three-dimensional cubic nonlinear wave equation\, which is also known as the hyperbolic $\\Phi^4_3$-model. This result is the hyperbolic counterpart to seminal works on the parabolic $\\ Phi^4_3$-model by Hairer ’14 and Hairer- Matetski ’18.\nIn the first h alf of this talk\, we illustrate Gibbs measures in the context of Hamilton ian ODEs\, which serve as toy-models. We also connect our theorem with cla ssical and recent developments in constructive QFT\, dispersive PDEs\, and stochastic PDEs.\nIn the second half of this talk\, we give a non-technic al overview of the proof. As part of this overview\, we first introduce a caloric representation of the Gibbs measure\, which leads to an inter- pla y of both parabolic and hyperbolic theories. Then\, we briefly discuss the local dynamics of the cubic nonlinear wave equation\, focusing on a hidde n cancellation between sextic stochastic objects.\nThis is joint work with Y. Deng\, A. Nahmod\, and H. Yue.\n LOCATION:https://researchseminars.org/talk/AQFP/19/ END:VEVENT END:VCALENDAR