BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ivan Corwin (Columbia) DTSTART:20260203T140000Z DTEND:20260203T150000Z DTSTAMP:20260801T123913Z UID:IAMP_seminars/186 DESCRIPTION:Title: Extreme Diffusion\nby Ivan Corwin (Columbia) as part of One wo rld IAMP mathematical physics seminar\n\n\nAbstract\nTwo hundred years ago \, Robert Brown observed the statistics of the motion of grains of pollen in water. It took almost one hundred years for Einstein and others to deve lop an effective theory describing this motion as that of a random walker. In this talk\, I will challenge a key implication of this well establishe d theory. When studying systems with very large numbers of particles diffu sing together\, I will argue that the Einstein random walk theory breaks d own when it comes to predicting the statistical behavior of extreme partic les—those that move the fastest and furthest in the system. In its place \, I will describe a new theory of extreme diffusion which captures the ef fect of the hidden environment in which particles diffuse together and all ows us to interrogate that environment by studying extreme particles. I wi ll highlight one piece of mathematics that led us to develop this theory —a non-commutative binomial theorem—and hint at other connections to i ntegrable probability\, quantum integrable systems and stochastic PDE.\n LOCATION:https://researchseminars.org/talk/IAMP_seminars/186/ END:VEVENT END:VCALENDAR