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VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Geometric questions on Julia sets.
DTSTART;VALUE=DATE-TIME:20171024T083000Z
DTEND;VALUE=DATE-TIME:20171024T092500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1256@indico.math.cnrs.fr
DESCRIPTION:Speakers: Peter HaissinskY (Universite d'Aix-Marseille)\nWe wi
ll address questions coming from quasiconformal geometry\nthat will be spe
cialized to Julia sets of rational maps.\n\nhttps://indico.math.cnrs.fr/ev
ent/2284/contributions/1256/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1256/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Two Moduli Spaces.
DTSTART;VALUE=DATE-TIME:20171024T123000Z
DTEND;VALUE=DATE-TIME:20171024T132500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1258@indico.math.cnrs.fr
DESCRIPTION:Speakers: John Milnor (Institute for Mathematical Sciences. St
ony Brook)\nA discussion of two moduli spaces and their awkward topologies
:\nfirst the space of divisors on the Riemann sphere modulo the action\nof
Moebius automophisms\; and second the (compactified) space of curves\nin
the complex projective plane modulo projective automorphisms.\nThis is joi
nt work with Araceli Bonifant.\n\nhttps://indico.math.cnrs.fr/event/2284/c
ontributions/1258/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1258/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Wandering domains of transcendental functions (joint work with K.
Baranski\, X. Jarque and B. Karpinska)
DTSTART;VALUE=DATE-TIME:20171024T094500Z
DTEND;VALUE=DATE-TIME:20171024T104000Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1259@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nuria Fagella (Universitat de Barcelona)\nWe present
several results concerning the relative position of points in the postsin
gular set $P(f)$ of a meromorphic map $f$ and the boundary of the success
ive iterates of a wandering component. We shall also construct an oscillat
ing domain in class B on which the iterates are univalent.\n\nhttps://indi
co.math.cnrs.fr/event/2284/contributions/1259/
LOCATION:Université d'Angers
URL:https://indico.math.cnrs.fr/event/2284/contributions/1259/
END:VEVENT
BEGIN:VEVENT
SUMMARY:When hyperbolic maps are matings.
DTSTART;VALUE=DATE-TIME:20171024T151500Z
DTEND;VALUE=DATE-TIME:20171024T161000Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1260@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mary Rees (University of Liverpool)\nA mating is a r
ational map made by combining two polynomials of the same degree in a cert
ain fashion. Matings were a recurring theme in Tan Lei's work\, not surpri
singly\, since the concept was invented by Douady and Hubbard after their
extraordinary success in describing the Mandelbrot set in the parameter s
pace of quadratic polynomials. in fact\, Tan Lei's thesis was essentially
an existence result\, prompted by a question of Douady\, and showing that
matings are in plentiful supply. It was\, however\, realised early on that
not all rational maps can be described in terms of matings of polynomials
. Nevertheless\, there are regions of the parameter space of quadratic ra
tional maps in which matings do give a good combinatorial description of t
he parameter space\, and describe all hyperbolic rational maps of bitransi
tive type. I will talk about a relatively new instance of this\, in the ca
se where all Fatou components have disjoint closures.\n\nhttps://indico.ma
th.cnrs.fr/event/2284/contributions/1260/
LOCATION:Université d'Angers L003.
URL:https://indico.math.cnrs.fr/event/2284/contributions/1260/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Computing the conformal dimension of Julia sets by elastic graphs.
DTSTART;VALUE=DATE-TIME:20171024T134500Z
DTEND;VALUE=DATE-TIME:20171024T144000Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1261@indico.math.cnrs.fr
DESCRIPTION:Speakers: Dylan Thurston (Indiana University\, Bloomington)\nO
ne measure of the complexity of a Julia set are various notions of\n"confo
rmal dimension". We show how to estimate the Ahlfors regular\nconformal di
mension sharply from above and below by using energies of\nmaps between gr
aphs\, a refinement of the earlier theorem that\ncharacterized rational ma
ps using similar energies.\n\nThis is joint work with Kevin Pilgrim.\n\nht
tps://indico.math.cnrs.fr/event/2284/contributions/1261/
LOCATION:Université d'Angers
URL:https://indico.math.cnrs.fr/event/2284/contributions/1261/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rationality is practically decidable for Nearly Euclidean Thurston
maps.
DTSTART;VALUE=DATE-TIME:20171025T083000Z
DTEND;VALUE=DATE-TIME:20171025T092500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1262@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kevin Pilgrim (Indiana Universityl. Boomington.)\nA
Thurston map $f: (S^2\, P) \\to (S^2\, P)$ is \\emph{nearly Euclidean} if
its postcritical set $P$ has four points and each branch point is simple.
We show that the problem of determining whether $f$ is equivalent to a ra
tional map is algorithmically decidable\, and we give a practical implemen
tation of this algorithm. Executable code and data from 50\,000 examples
is tabulated at \\url{https://www.math.vt.edu/netmaps/index.php}. This is
joint work with W. Floyd and W. Parry.\n\nhttps://indico.math.cnrs.fr/even
t/2284/contributions/1262/
LOCATION:Université d'Angers L003.
URL:https://indico.math.cnrs.fr/event/2284/contributions/1262/
END:VEVENT
BEGIN:VEVENT
SUMMARY:On combInaTorIal types of Cycles under $z^d$
DTSTART;VALUE=DATE-TIME:20171025T070000Z
DTEND;VALUE=DATE-TIME:20171025T075500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1263@indico.math.cnrs.fr
DESCRIPTION:Speakers: Carsten Lunde Petersen (INM at Roskilde University)\
nThe talk is based on joint work with Saeed Zakeri. Rotation sets for $z^d
$\, sets on which $z^d$ is topologically conjugate to a \nrigid rotation\,
are well studied in the literature. Much less is known about periodic orb
its of other types of combinatorics. \nTo be precise by a combinatorics (o
f period $q$) we mean a dynamics on $0< x_1 < x_2 < \\ldots x_q <1\\in\\TT
:= \\RR/\\ZZ$ \nfixing $0\\equiv 1$ and which acts as a permutation of or
der $q$ on the $x_i$. \nWhich combinatorics are realized under $z^d$? In h
ow many distinct ways is a given combinatorics realized? \nHow does this n
umber depend on the degree $d$?\n\nhttps://indico.math.cnrs.fr/event/2284/
contributions/1263/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1263/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generic one parameter perturbation of parabolic points with severa
l petals.
DTSTART;VALUE=DATE-TIME:20171024T070000Z
DTEND;VALUE=DATE-TIME:20171024T075500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1264@indico.math.cnrs.fr
DESCRIPTION:Speakers: Arnaud Cheritat ()\nWith Christiane Rousseau we stud
y generic one-parameter perturbation of holomorphic vector fields in co
mplex dimension one\, with the aim of applying this to the stud
y of bifurcation loci of one-parameter families.\n\nhttps://indico.math.c
nrs.fr/event/2284/contributions/1264/
LOCATION:Université d'Angers
URL:https://indico.math.cnrs.fr/event/2284/contributions/1264/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Cubic Polynomials.
DTSTART;VALUE=DATE-TIME:20171025T094500Z
DTEND;VALUE=DATE-TIME:20171025T104000Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1265@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pascale ROESCH (Université Paul Sabatier de Toulous
e.)\nOne of Tan Lei's interest was to understand dynamically the space o
f cubic polynomials. In this talk we will focus on this question.\n\nhttp
s://indico.math.cnrs.fr/event/2284/contributions/1265/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1265/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matings and Thurston obstruction
DTSTART;VALUE=DATE-TIME:20171023T080000Z
DTEND;VALUE=DATE-TIME:20171023T085500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1266@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mistuhiro Shishikura (Kyoto University)\nFor the mat
ings of quadratic polynomials\, the mateability was characterized by Mary
Rees and Tan Lei\, \nvia Levy cycle theorem. For higher degree polynomial
s\, with the absence of Levy cycle theorems\, \nmateablity criterion is mu
ch harder to obtain. In this talk\, I will discuss a possible characteriz
ation \nvia a tree defined from the Thurston obstruction.\n\nhttps://indic
o.math.cnrs.fr/event/2284/contributions/1266/
LOCATION:Université d'Angers
URL:https://indico.math.cnrs.fr/event/2284/contributions/1266/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Milnor-Thurston determinant and the Ruelle transfer operator.
DTSTART;VALUE=DATE-TIME:20171023T123000Z
DTEND;VALUE=DATE-TIME:20171023T132500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1267@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hans Henrik Rugh (Université de Paris-Sud\, Orsay)\
nThe topological entropy $\\htop$ of a continuous piecewise monotone inter
val map measures the exponential growth in the number of\nmonotonicity int
ervals for iteratesof the map. \nMilnor and Thurston showed that $\\exp(-\
\htop)$ is the smallest zero of an analytic function\, now coined the Miln
or-Thurston determinant\,\nthat keeps track of relative positions of forwa
rd orbits of critical points. On the other hand $\\exp(\\htop)$ equals the
spectral radius of a \nRuelle transfer operator $L$\, associated with the
map. Iterates of $L$ keep track of inverse orbits of the map.\nFor no obv
ious reason\, a Fredholm determinant for the transfer operator has not onl
y the same leading zero as the\nM-T determinant but all peripheral (those
lying in the unit disk) zeros are the same.\n\nIn the talk I will show th
at on a suitable function space\, the dual of the Ruelle transfer operator
has a \nregularized determinant\, identical to the Milnor-Thurston determ
inant\, hereby providing a natural explanation \nfor the above puzzle. Thi
s work was inspired by a collaboration with Tan Lei in 2014.\n\nhttps://in
dico.math.cnrs.fr/event/2284/contributions/1267/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1267/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Julia sets with a wandering branching point.
DTSTART;VALUE=DATE-TIME:20171023T093000Z
DTEND;VALUE=DATE-TIME:20171023T102500Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1268@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xavier Buff (Université de Toulouse)\nAccording to
the Thurston no wandering triangle Theorem\, a branching point in a locall
y connected quadratic Julia set is either preperiodic or precritical. Blo
kh and Oversteegen proved that this theorem does not hold for higher degre
e Julia sets: there exist cubic polynomials whose Julia set is a locally c
onnected dendrite with a branching point which is neither preperiodic nor
precritical. We shall reprove this result\, constructing such cubic polyno
mials as limits of cubic polynomials for which one critical point eventual
ly maps to the other critical point which eventually maps to a repelling f
ixed point. This is a joint work with Jordi Canela and Pascale Roesch.\n\n
https://indico.math.cnrs.fr/event/2284/contributions/1268/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1268/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Desingularizing Hilbert modular varieties.
DTSTART;VALUE=DATE-TIME:20171023T151500Z
DTEND;VALUE=DATE-TIME:20171023T161000Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1269@indico.math.cnrs.fr
DESCRIPTION:Speakers: John Hubbard (Cornell University and Université Aix
-Marseille)\nHirzebruch in the 70’s found a way of resolving the cusps o
f Hilbert modular surfaces. I will present a new description of this proc
edure inspired by the dynamics of monomial maps\, and show how it extends
to Hilbert modular varieties of any dimension.\n\nhttps://indico.math.cnrs
.fr/event/2284/contributions/1269/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1269/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The core entropy for polynomials of higher degree.
DTSTART;VALUE=DATE-TIME:20171023T134500Z
DTEND;VALUE=DATE-TIME:20171023T144000Z
DTSTAMP;VALUE=DATE-TIME:20220526T052439Z
UID:indico-contribution-2284-1270@indico.math.cnrs.fr
DESCRIPTION:Speakers: Giulio Tiozzo (University of Toronto)\nThe notion of
topological entropy for real multimodal maps goes back to the \nwork of M
ilnor and Thurston in the 1970s. In order to extend this definition from t
he world \nof real maps to complex polynomials\, W. Thurston defined the c
ore entropy as the entropy of the restriction of the polynomial to its Hub
bard tree. \nTogether with Tan Lei\, her students\, and collaborators\, a
few years ago we set up to understand how this invariant works. \n\nIn thi
s talk\, I will discuss the notion of core entropy and their definition fo
r polynomials of any degree. In particular\, we will explore the space PM(
d) of "primitive majors" which serves as a combinatorial model for the spa
ce of polynomials of degree d\, see how to compute the core entropy \nfrom
the combinatorial data and prove it varies continuously on the parameter
space. This is joint work with Gao Yan.\n\nhttps://indico.math.cnrs.fr/eve
nt/2284/contributions/1270/
LOCATION:Université d'Angers L003
URL:https://indico.math.cnrs.fr/event/2284/contributions/1270/
END:VEVENT
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