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DTSTART:20180311T070000
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DTSTART:20181104T060000
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DTSTART;TZID=America/Toronto:20181122T150000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20181122T150000
URL:https://uwaterloo.ca/pure-mathematics/events/random-matrices-learning-s
 eminar-2
SUMMARY:Random Matrices Learning Seminar
CLASS:PUBLIC
DESCRIPTION:DANIEL PERALES\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF
  WATERLOO\n\n\"Random matrices\, interlacing families of polynomials\, and
  the\nexpected characteristic polynomial\"\n\nIn this session we will begi
 n by \;reviewing the notion of real\nstability and some of its basic prope
 rties. Then we continue with the\nstudy of operators that preserve real st
 ability. For this\, we will\nlook into the proof of the Gauss-Lucas Theore
 m\, which asserts that for\nany complex polynomial f\, the roots of its de
 rivative\, f'\, are\ncontained in the convex hull of the roots of f.
DTSTAMP:20260607T015931Z
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