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UID:20250808T050344EDT-1783plZDUf@132.216.98.100
DTSTAMP:20250808T090344Z
DESCRIPTION:\n	\n		\n			\n				TITRE / TITLE\n					Optimal rigidity and maximum of the char
 acteristic polynomial of Wigner matrices.\n\n				\n					RÉSUMÉ / ABSTRACT\n\n				We con
 sider two related questions about the extremal statistics of Wigner matric
 es (random symmetric matrices with independent entries). First\, how much 
 can their eigenvalues fluctuate? It is known that the eigenvalues of such 
 matrices behave as repelling particles\, trapping them near deterministic 
 locations. We provide optimal estimates for this “rigidity” phenomenon. Se
 cond\, what is the behavior of the maximum of the characteristic polynomia
 l? This is motivated by a conjecture of Fyodorov–Hiary–Keating on the maxi
 ma of logarithmically correlated fields\, and we will present the first re
 sults on this question for Wigner matrices.\n\n				 \n\n				Zoom link: https://umo
 ntreal.zoom.us/j/84070804466?pwd=QWZpMDJwc29pOGVBWTJISFJOSGlEUT09\n					(Note t
 he link is different this week!)\n\n				 \n			\n		\n	\n\n
DTSTART:20231110T150000Z
DTEND:20231110T160000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Patrick Lopatto (Brown University)
URL:/mathstat/channels/event/patrick-lopatto-brown-uni
 versity-352511
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