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BEGIN:VEVENT
UID:1bcbc649077a0317cbcc4f047453d657
CATEGORIES:DIMACS Theory of Computing Seminar
CREATED:20220118T115356
SUMMARY:Determinant solutions for nonlinear differential equations in the commutative and noncommutative case
LOCATION:Zoom
DESCRIPTION:Abstract: James Joseph Sylvester was the first one to find a determinant so
 lution of a system of nonlinear differential equations which is now known a
 s Toda system. I will talk about commutative and noncommutative generalizat
 ions of his result. I will also discuss connections between Toda systems, P
 ainlevé equations and orthogonal polynomials\n
X-ALT-DESC;FMTTYPE=text/html:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; 
 text-indent: 0px; text-transform: none; white-space: normal; widows: 2; wor
 d-spacing: 0px;"><em>Abstract</em>: James Joseph Sylvester was the first on
 e to find a determinant solution of a system of nonlinear differential equa
 tions which is now known as Toda system. I will talk about commutative and 
 noncommutative generalizations of his result. I will also discuss connectio
 ns between Toda systems, Painlevé equations and orthogonal polynomials</p>
CONTACT:Vladimir Retakh - Rutgers University
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/94346444480\npassword: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420 
DTSTAMP:20260826T190520
DTSTART;TZID=America/New_York:20220203T170000
DTEND;TZID=America/New_York:20220203T180000
SEQUENCE:0
TRANSP:OPAQUE
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