BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Full deautonomisation by singularity confinement as an integrabili
 ty test
DTSTART;VALUE=DATE-TIME:20230622T074500Z
DTEND;VALUE=DATE-TIME:20230622T081500Z
DTSTAMP;VALUE=DATE-TIME:20260405T193806Z
UID:indico-contribution-18@cern.ch
DESCRIPTION:Speakers: Dr. STOKES\, Alexander (The University of Tokyo)\nSi
 nce its introduction\, the method of full deautonomisation by singularity 
 confinement has proved a strikingly effective way of detecting the dynamic
 al degrees of birational mappings of the plane.\nThis method is based on a
  conjectured link between two a priori unrelated notions: firstly the dyna
 mical degree of the mapping and secondly the evolution of parameters requi
 red for its singularity structure to remain unchanged under a sufficiently
  general deautonomisation.\nIn this talk we will present a proof of this c
 onjectured correspondence for a large class of birational mappings of the 
 plane via the spaces of initial conditions for their deautonomised version
 s.\nWe show that even for non-integrable mappings in this class\, the surf
 aces forming these spaces have effective anticanonical divisors and one ca
 n define a kind of period mapping\, which provides a bridge between the ev
 olution of coefficients in the deautonomised mapping and the induced dynam
 ics on the Picard lattice which encode the dynamical degree.\nWe will illu
 strate the method in some examples and also discuss connections to the the
 ory of rational surfaces associated with root systems of indefinite type.\
 n\nhttp://indico.fuw.edu.pl/contributionDisplay.py?contribId=18&sessionId=
 0&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=18&sessionId
 =0&confId=67
END:VEVENT
END:VCALENDAR