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TITRE / TITLE
Branching processes in random matrix theory and analytic number theory
R脡SUM脡 / ABSTRACT
The limiting distributions for maxima of independent random variables have been classified during the first half of last century. This classification does not extend to strong interactions, in particular to the flurry of processes with natural logarithmic (or multiscale) correlations. These include branching random walks or the 2d Gaussian free field. More recently, Fyodorov, Hiary and Keating (2012) exhibited new examples of log-correlated phenomena in number theory and random matrix theory. As a result (and as a testing ground of their observations) they have formulated very precise conjectures about maxima of the characteristic polynomial of random matrices, and the maximum of L-functions on typical interval the critical line. I will describe the recent progress towards these conjectures in both the random and deterministic setting.
LIEU / PLACE
CRM, Salle / Room 5340, Pavillon Andr茅 Aisenstadt
Une r茅ception suivra au salon Maurice-Labb茅 (salle 6245)
A reception will follow in the Maurice-Labb茅 lounge (room 6245)
ZOOM
ID: 842 2670 1306 / CODE: 692788
ORGANISATEURS / ORGANIZERS
L茅o Belzile (Universit茅 de Montr茅al)
Joel Kamnitzer (平特五不中)
Giovanni Rosso (Concordia University)
Alina Stancu (Concordia University)
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