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VERSION:2.0
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BEGIN:VEVENT
SUMMARY:Geometric questions on Julia sets.
DTSTART;VALUE=DATE-TIME:20171024T083000Z
DTEND;VALUE=DATE-TIME:20171024T092500Z
DTSTAMP;VALUE=DATE-TIME:20220930T095800Z
UID:indico-contribution-1256@indico.math.cnrs.fr
DESCRIPTION:Speakers: Peter HaissinskY (Universite d'Aix-Marseille)\n\nWe
will address questions coming from quasiconformal geometry\nthat will be s
pecialized to Julia sets of rational maps.\n\nhttps://indico.math.cnrs.fr/
event/2284/contributions/1256/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1258@indico.math.cnrs.fr
DESCRIPTION:Speakers: John Milnor (Institute for Mathematical Sciences. St
ony Brook)\n\nA discussion of two moduli spaces and their awkward topologi
es:\nfirst the space of divisors on the Riemann sphere modulo the action\n
of Moebius automophisms\; and second the (compactified) space of curves\ni
n the complex projective plane modulo projective automorphisms.\nThis is j
oint work with Araceli Bonifant.\n\nhttps://indico.math.cnrs.fr/event/2284
/contributions/1258/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1259@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nuria Fagella (Universitat de Barcelona)\n\nWe prese
nt several results concerning the relative position of points in the posts
ingular set $P(f)$ of a meromorphic map $f$ and the boundary of the succe
ssive iterates of a wandering component. We shall also construct an oscill
ating domain in class B on which the iterates are univalent.\n\nhttps://in
dico.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:20220930T095800Z
UID:indico-contribution-1260@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mary Rees (University of Liverpool)\, Mary Rees (Uni
versity of Liverpool.)\n\nA mating is a rational map made by combining two
polynomials of the same degree in a certain fashion. Matings were a recur
ring theme in Tan Lei's work\, not surprisingly\, since the concept was in
vented by Douady and Hubbard after their extraordinary success in describi
ng the Mandelbrot set in the parameter space 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 des
cribed in terms of matings of polynomials. Nevertheless\, there are region
s of the parameter space of quadratic rational maps in which matings do g
ive a good combinatorial description of the parameter space\, and describe
all hyperbolic rational maps of bitransitive type. I will talk about a re
latively new instance of this\, in the case where all Fatou components hav
e disjoint closures.\n\nhttps://indico.math.cnrs.fr/event/2284/contributio
ns/1260/
LOCATION:L003. (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1261@indico.math.cnrs.fr
DESCRIPTION:Speakers: Dylan Thurston (Indiana University\, Bloomington)\n\
nOne measure of the complexity of a Julia set are various notions of\n"con
formal dimension". We show how to estimate the Ahlfors regular\nconformal
dimension sharply from above and below by using energies of\nmaps between
graphs\, a refinement of the earlier theorem that\ncharacterized rational
maps using similar energies.\n\nThis is joint work with Kevin Pilgrim.\n\n
https://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:20220930T095800Z
UID:indico-contribution-1262@indico.math.cnrs.fr
DESCRIPTION:Speakers: Kevin Pilgrim (Indiana Universityl. Boomington.)\, K
evin Pilgrim (Indiana University. Bloomington.)\n\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 pro
blem of determining whether $f$ is equivalent to a rational map is algorit
hmically decidable\, and we give a practical implementation of this algori
thm. 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. Fl
oyd and W. Parry.\n\nhttps://indico.math.cnrs.fr/event/2284/contributions/
1262/
LOCATION:L003. (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1263@indico.math.cnrs.fr
DESCRIPTION:Speakers: Carsten Lunde Petersen (INM at Roskilde University)\
n\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 o
rbits of other types of combinatorics. \nTo be precise by a combinatorics
(of 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
order $q$ on the $x_i$. \nWhich combinatorics are realized under $z^d$? In
how many distinct ways is a given combinatorics realized? \nHow does this
number depend on the degree $d$?\n\nhttps://indico.math.cnrs.fr/event/228
4/contributions/1263/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1264@indico.math.cnrs.fr
DESCRIPTION:Speakers: Arnaud Cheritat\n\nWith Christiane Rousseau we study
generic one-parameter perturbation of holomorphic vector fields in com
plex dimension one\, with the aim of applying this to the study
of bifurcation loci of one-parameter families.\n\nhttps://indico.math.cn
rs.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:20220930T095800Z
UID:indico-contribution-1265@indico.math.cnrs.fr
DESCRIPTION:Speakers: Pascale ROESCH (Université Paul Sabatier de Toulous
e.)\n\nOne of Tan Lei's interest was to understand dynamically the space
of cubic polynomials. In this talk we will focus on this question.\n\nht
tps://indico.math.cnrs.fr/event/2284/contributions/1265/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1266@indico.math.cnrs.fr
DESCRIPTION:Speakers: Mistuhiro Shishikura (Kyoto University)\, Mitsuhiro
Shishikura (Kyoto University)\n\nFor the matings of quadratic polynomials\
, the mateability was characterized by Mary Rees and Tan Lei\, \nvia Levy
cycle theorem. For higher degree polynomials\, with the absence of Levy c
ycle theorems\, \nmateablity criterion is much harder to obtain. In this
talk\, I will discuss a possible characterization \nvia a tree defined fro
m the Thurston obstruction.\n\nhttps://indico.math.cnrs.fr/event/2284/cont
ributions/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:20220930T095800Z
UID:indico-contribution-1267@indico.math.cnrs.fr
DESCRIPTION:Speakers: Hans Henrik Rugh (Université de Paris-Sud\, Orsay)\
n\nThe topological entropy $\\htop$ of a continuous piecewise monotone int
erval map measures the exponential growth in the number of\nmonotonicity i
ntervals for iteratesof the map. \nMilnor and Thurston showed that $\\exp(
-\\htop)$ is the smallest zero of an analytic function\, now coined the Mi
lnor-Thurston determinant\,\nthat keeps track of relative positions of for
ward orbits of critical points. On the other hand $\\exp(\\htop)$ equals t
he spectral radius of a \nRuelle transfer operator $L$\, associated with t
he map. Iterates of $L$ keep track of inverse orbits of the map.\nFor no o
bvious reason\, a Fredholm determinant for the transfer operator has not o
nly the same leading zero as the\nM-T determinant but all peripheral (tho
se lying in the unit disk) zeros are the same.\n\nIn the talk I will show
that on a suitable function space\, the dual of the Ruelle transfer operat
or has a \nregularized determinant\, identical to the Milnor-Thurston dete
rminant\, hereby providing a natural explanation \nfor the above puzzle. T
his work was inspired by a collaboration with Tan Lei in 2014.\n\nhttps://
indico.math.cnrs.fr/event/2284/contributions/1267/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1268@indico.math.cnrs.fr
DESCRIPTION:Speakers: Xavier Buff (Université de Toulouse)\n\nAccording t
o the Thurston no wandering triangle Theorem\, a branching point in a loca
lly connected quadratic Julia set is either preperiodic or precritical. B
lokh and Oversteegen proved that this theorem does not hold for higher deg
ree Julia sets: there exist cubic polynomials whose Julia set is a locally
connected dendrite with a branching point which is neither preperiodic no
r precritical. We shall reprove this result\, constructing such cubic poly
nomials as limits of cubic polynomials for which one critical point eventu
ally maps to the other critical point which eventually maps to a repelling
fixed point. This is a joint work with Jordi Canela and Pascale Roesch.\n
\nhttps://indico.math.cnrs.fr/event/2284/contributions/1268/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1269@indico.math.cnrs.fr
DESCRIPTION:Speakers: John Hubbard (Cornell University and Université Aix
-Marseille)\n\nHirzebruch in the 70’s found a way of resolving the cusps
of Hilbert modular surfaces. I will present a new description of this pr
ocedure inspired by the dynamics of monomial maps\, and show how it extend
s to Hilbert modular varieties of any dimension.\n\nhttps://indico.math.cn
rs.fr/event/2284/contributions/1269/
LOCATION:L003 (Université d'Angers)
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:20220930T095800Z
UID:indico-contribution-1270@indico.math.cnrs.fr
DESCRIPTION:Speakers: Giulio Tiozzo (University of Toronto)\n\nThe notion
of topological entropy for real multimodal maps goes back to the \nwork of
Milnor and Thurston in the 1970s. In order to extend this definition from
the world \nof real maps to complex polynomials\, W. Thurston defined the
core entropy as the entropy of the restriction of the polynomial to its H
ubbard tree. \nTogether with Tan Lei\, her students\, and collaborators\,
a few years ago we set up to understand how this invariant works. \n\nIn t
his talk\, I will discuss the notion of core entropy and their definition
for polynomials of any degree. In particular\, we will explore the space P
M(d) of "primitive majors" which serves as a combinatorial model for the s
pace of polynomials of degree d\, see how to compute the core entropy \nfr
om the combinatorial data and prove it varies continuously on the paramete
r space. This is joint work with Gao Yan.\n\nhttps://indico.math.cnrs.fr/e
vent/2284/contributions/1270/
LOCATION:L003 (Université d'Angers)
URL:https://indico.math.cnrs.fr/event/2284/contributions/1270/
END:VEVENT
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