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BEGIN:VEVENT
UID:7347@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180326T100000
DTEND;TZID=Europe/Paris:20180326T110000
DTSTAMP:20241120T203921Z
URL:https://www.i2m.univ-amu.fr/evenements/from-random-polynomials-to-kahl
 er-geometry/
SUMMARY:Turgay Bayraktar (Sabanci University\, Turquey): From random polyno
 mials to Kähler geometry
DESCRIPTION:Turgay Bayraktar: Zero distribution of polynomials of high degr
 ee with random coefficients naturally appear\, among others\, in the conte
 xt of quantum chaotic dynamics. A classical result asserts that if the coe
 fficients are independent Gaussian random variables then zeros of random p
 olynomials tend to accumulate near the unit circle on the complex plane. O
 n the other hand\, zeros of SU(2) polynomials are uniformly distributed on
  the Riemann sphere. While these results are consistent with Random Matrix
  Theory predictions they provide a new inside for the problem of quantum e
 rgodicity. There are also higher dimensional generalizations of these resu
 lts which form a relatively new field called Stochastic Kähler Geometry. 
 In this talk\, we will review some recent results on zero distribution of 
 random polynomials and their generalization to compact Kähler manifolds. 
 The main theme will be the universality of statistics of zeros of (general
 ized) random polynomials. \n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/03/Turgay_Bayraktar.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20180325T030000
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