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TZID:Europe/Paris
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BEGIN:VEVENT
UID:2765@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190228T140000
DTEND;TZID=Europe/Paris:20190228T150000
DTSTAMP:20190213T130000Z
URL:https://www.i2m.univ-amu.fr/evenements/algebraic-equations-with-smooth
 -coefficients-and-applications/
SUMMARY: (...): Algebraic equations with smooth coefficients and applicatio
 ns
DESCRIPTION:: Take a monic polynomial in one variable of degree n whose coe
 fficients are smooth complex-valued functions. The n roots (with multiplic
 ities) of the polynomial constitute a multi-valued function\, which admits
  smooth parameterizations locally near points\, where all roots are distin
 ct. But what happens at contact points of the roots? How regular can param
 eterizations of the roots be? These questions appear naturally in a wide a
 rray of mathematical problems\, most notably in the perturbation theory fo
 r linear operators\, the Cauchy problem for PDEs\, smooth structures on si
 ngular spaces\, or nodal sets of smooth functions. In this talk I will sur
 vey the recent developments in this subject. The focus will be on the opti
 mal Sobolev regularity of the roots which solves a longstanding open probl
 em.The talk is based on joint work with Adam Parusinski.http://www.mat.uni
 vie.ac.at/~armin/
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TZID:Europe/Paris
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DTSTART:20181028T020000
TZOFFSETFROM:+0200
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