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PRODID:-//Center for Complex Geometry - ECPv5.6.0//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:20210520T110000
DTEND;TZID=Asia/Seoul:20210520T120000
DTSTAMP:20210518T202015
CREATED:20210430T040140Z
LAST-MODIFIED:20210430T042439Z
UID:437-1621508400-1621512000@ccg.ibs.re.kr
SUMMARY:Lucas Kaufmann\, Introduction to Dynamics in Several Complex Variables
DESCRIPTION: Speaker\n\n\nLucas Kaufmann\nIBS\, Center for Complex Geometry\n\n\n\n\n\n\nThe field of complex dynamics deals with the study of the iteration of a map from a complex manifold to itself. The one dimensional theory is more than one-hundred years old and is now very well developed. \nDue to the fundamental differences between complex analysis in one and higher dimensions\, the study of higher dimensional dynamical systems is much more recent and is still an active research domain\, with interesting connections to complex geometry\, algebraic geometry\, number theory\, mathematical physics etc. \nThe aim of this talk is to survey standard results on the dynamics of self-maps in complex manifolds. I will focus on the case of endomorphisms of the complex projective space and use it to illustrate how the tools of pluripotential theory and the theory of currents are crucial in their study. \nIn particular\, I aim to talk about Green currents and measures\, equidistribution theorems and\, if time permits\, relations with the intersection theory of currents.
URL:https://ccg.ibs.re.kr/event/2021-05-20/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210527T110000
DTEND;TZID=Asia/Seoul:20210527T120000
DTSTAMP:20210518T202015
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
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20210603T110000
DTEND;TZID=Asia/Seoul:20210603T120000
DTSTAMP:20210518T202015
CREATED:20210518T033401Z
LAST-MODIFIED:20210518T033401Z
UID:496-1622718000-1622721600@ccg.ibs.re.kr
SUMMARY:Joonyeong Won\, K-stability\, Kähler-Einstein Metric on Fano Varieties and Sasaki-Einstein Metric on 5-dimensional Smale Manifolds
DESCRIPTION: Speaker\n\n\nJoonyeong Won\nKIAS\n\n\n\n\n\n\nWe discuss on recent progresses of the existence problem of Kähler-Einstein metric on Fano varieties by K-stability of them and also the existence problem of Sasaki-Einstein metric on 5-dimensional Smale manifolds via K-stability of weighted hypersurface log del Pezzo surfaces.
URL:https://ccg.ibs.re.kr/event/2021-06-03/
LOCATION:B266\, IBS\, Korea\, Republic of
CATEGORIES:Complex Geometry Seminar
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