BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Vasilisa Shramchenko (Université de Sherbrooke)
DTSTART:20210421T190000Z
DTEND:20210421T200000Z
DTSTAMP:20260420T053408Z
UID:NYC-NCG/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NYC-NCG/50/"
 >Poncelet theorem and Painlevé VI</a>\nby Vasilisa Shramchenko (Universit
 é de Sherbrooke) as part of Noncommutative geometry in NYC\n\n\nAbstract\
 nIn 1995 Hitchin constructed explicit algebraic solutions to the Painlevé
  VI (1/8\,-1/8\,1/8\,3/8) equation starting with any  Poncelet trajectory\
 , that is a closed billiard trajectory inscribed in a conic and circumscri
 bed about another conic. In this talk I will show that Hitchin's construct
 ion is nothing but the Okamoto transformation between Picard's solution an
 d the general solution of the Painlevé VI (1/8\,-1/8\,1/8\,3/8) equation.
  Moreover\, this Okamoto transformation can be written in terms of an Abel
 ian differential of the third kind on the associated elliptic curve.\n
LOCATION:https://researchseminars.org/talk/NYC-NCG/50/
END:VEVENT
END:VCALENDAR