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PRODID:-//Center for Complex Geometry - ECPv5.8.1//NONSGML v1.0//EN
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X-WR-CALNAME:Center for Complex Geometry
X-ORIGINAL-URL:https://ccg.ibs.re.kr
X-WR-CALDESC:Events for Center for Complex Geometry
BEGIN:VTIMEZONE
TZID:Asia/Seoul
BEGIN:STANDARD
TZOFFSETFROM:+0900
TZOFFSETTO:+0900
TZNAME:KST
DTSTART:20210101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210527T110000
DTEND;TZID=Asia/Seoul:20210527T120000
DTSTAMP:20210729T105932
CREATED:20210430T040608Z
LAST-MODIFIED:20210430T042430Z
UID:443-1622113200-1622116800@ccg.ibs.re.kr
SUMMARY:Lucas Kaufmann\, Commuting Pairs of Endomorphisms
DESCRIPTION: Speaker\n\n\nLucas Kaufmann\nIBS\, Center for Complex Geometry\n\n\n\n\n\n\nThe study of functional equations is at the origin of the early developments of the iteration theory of polynomials and rational functions\, carried out by Fatou\, Julia\, Ritt and others. Among these equations\, the commutation relation f g = g f is particularly interesting. In this talk I will discuss the following problem: can we classify commuting pairs of holomorphic endomorphisms of the complex projective space? \nWe will see that the relation f g = g f gives rise to special symmetries of several dynamical objects attached to these maps\, such as their invariant currents and measures\, their Julia sets and so on. This rigidity allows us to understand the structure of these maps and even give a full description in low dimensions.
URL:https://ccg.ibs.re.kr/event/2021-05-27/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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