BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20260205T232526EST-3647DsCmzg@132.216.98.100
DTSTAMP:20260206T042526Z
DESCRIPTION:Title: The Circular Beta Ensemble: Magic\, Mystery\, and the Ex
 tremes of Random Matrices.\n\nAbstract: \n\nThe circular beta ensemble is 
 a one-parameter family of random matrices that\, at beta equal to two\, re
 duces to the most elementary object in random matrix theory: a Haar-distri
 buted unitary matrix\, the uniform distribution on unitary matrices. And y
 et this single family sits at a remarkable crossroads — it is the source o
 f miraculous exact identities\, deep connections to Gaussian multiplicativ
 e chaos\, a canonical random fractal\, and\, through the Keating–Snaith ph
 ilosophy\, a probabilistic model for the Riemann zeta function on the crit
 ical line.\n\nn 2013\, Fyodorov\, Hiary\, and Keating made a pair of celeb
 rated conjectures that brought these threads together: they predicted that
  the maximum of the logarithm of the characteristic polynomial\, suitably 
 recentered\, converges to a sum of two independent Gumbel random variables
  — a classical law from extreme value theory. They made the same predictio
 n for the Riemann zeta function at a random height on the critical line. T
 heir argument drew on replica methods and a physically motivated ansatz fr
 om statistical physics — deeply suggestive\, but far from rigorous. The co
 njecture became one of the central open problems at the interface of proba
 bility\, random matrix theory\, and number theory.\n\nIn recent joint work
  with Ofer Zeitouni\, Gautier Lambert\, and Joseph Najnudel\, we resolve t
 he conjecture completely on the random matrix side\, for all values of bet
 a. The proof exploits the very magic that makes the circular beta ensemble
  special — in particular\, exact structural connections to multiplicative 
 chaos revealed by identities going back to Diaconis and Shahshahani and Ma
 tsumoto-Jiang. In this talk\, I will introduce the audience to this magica
 l world: the circular beta ensemble and its many faces\, the conjecture an
 d the ideas behind its resolution\, and the mysteries that remain.\n\nVenu
 e: Hybride - CRM\, Salle / Room 5340\, Pavillon André Aisenstadt\n
DTSTART:20260213T203000Z
DTEND:20260213T213000Z
SUMMARY:Elliot Paquette (Â鶹´«Ã½ÍøÕ¾)
URL:/biology/channels/event/elliot-paquette-mcgill-uni
 versity-371123
END:VEVENT
END:VCALENDAR