BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Wiener-Hopf factorization of  algebraic matrix valued function
 s with the help of the Riemann theta function. Quantum entanglement  of th
 e spin chains as a case study. - Alexander Its (Indiana University-Purdue 
 University Indianapolis)
DTSTART:20240703T083000Z
DTEND:20240703T091500Z
UID:TALK214888@talks.cam.ac.uk
DESCRIPTION:The evaluation of the entropy &nbsp\;of entanglement of the gr
 ound state in a wide family of one-dimensional quantum spin can be reduced
  to the Wiener-Hopf factorization of certain&nbsp\;2x2 algebraic &nbsp\;ma
 trix valued functions. We show how this factorization can be&nbsp\;perform
 ed using the apparatus of the Riemann-Hilbert method &nbsp\;and algebra-ge
 ometricintegration &nbsp\;borrowed from the theory of integrable systems. 
 We would like to thinkabout these calculations as a basis for a conjecture
  that &nbsp\;the Wiener-Hopf factorization&nbsp\;of a general &nbsp\;algeb
 raic matrix &nbsp\; can be &nbsp\;performed in terms of the Riemann theta 
 functions&nbsp\;associated with a certain &nbsp\;algebraic curve. The talk
  is based on the speaker works with &nbsp\;V. Korepin and B. Q. Jin and on
  his works with &nbsp\;F. Mezzadri and M. Y. Mo.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR