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SUMMARY:Growth and integrability of some birational maps in dimension thre
 e
DTSTART;VALUE=DATE-TIME:20230622T130000Z
DTEND;VALUE=DATE-TIME:20230622T133000Z
DTSTAMP;VALUE=DATE-TIME:20260428T074704Z
UID:indico-contribution-11@cern.ch
DESCRIPTION:Speakers: Dr. GUBBIOTTI\, Giorgio (Universita degli Studi di M
 ilano)\nMotivated by the study of the Kahan--Hirota--Kimura discretisation
  of the Euler top\, we characterise the growth and integrability propertie
 s of a collection of elements in the Cremona group of a complex projective
  3-space using techniques  from algebraic geometry. This collection consis
 ts of maps obtained by composing the standard Cremona transformation in th
 ree dimensions with projectivities that permute its fixed points and the p
 oints over which it performs a divisorial contraction.  More specifically\
 , we show that three behaviour are possible: (A) integrable with quadratic
  degree growth and two invariants\, (B) periodic with two-periodic degree 
 sequences and more than two invariants\, and (C) non-integrable with subma
 ximal degree growth and one invariant.\n\nhttp://indico.fuw.edu.pl/contrib
 utionDisplay.py?contribId=11&sessionId=9&confId=67
LOCATION:Faculty of Physics\, University of Warsaw Lecture hall: 0.06
URL:http://indico.fuw.edu.pl/contributionDisplay.py?contribId=11&sessionId
 =9&confId=67
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