BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:The field theory of avalanches
DTSTART;VALUE=DATE-TIME:20150612T123000Z
DTEND;VALUE=DATE-TIME:20150612T131500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3061@indico.in2p3.fr
DESCRIPTION:Speakers: Kay Wiese (Ecole normale supérieure)\nWhen elastic
systems like contact lines on a rough substrate\, domain walls in disorder
ed magnets\, or tectonic plates are driven slowly\, they remain immobile m
ost of the time\, before responding with strong intermittent motion\, term
ed avalanche. I will describe the field theory behind these phenomena\, ex
plain why its effective action has a cusp\, and how such intricate objects
as the temporal shape of an avalanche can be obtained.\n\nhttps://indico.
in2p3.fr/event/10750/contributions/3061/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3061/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Pseudoknots and Knots in RNA
DTSTART;VALUE=DATE-TIME:20150610T131500Z
DTEND;VALUE=DATE-TIME:20150610T140000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3060@indico.in2p3.fr
DESCRIPTION:Speakers: Henri Orland (IPhT)\nWe present some algorithms for
the prediction of RNA pseudo knots based on their topological classificati
on. In addition\, we present an analysis of knots in RNA and show that unl
ike DNA or proteins where they are abundant\, they are probably non-existe
nt in RNA.\n\nhttps://indico.in2p3.fr/event/10750/contributions/3060/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3060/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Counting doodles
DTSTART;VALUE=DATE-TIME:20150610T081500Z
DTEND;VALUE=DATE-TIME:20150610T090000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3059@indico.in2p3.fr
DESCRIPTION:Speakers: Jean-Bernard Zuber (LPTHE\, Université Pierre et Ma
rie Curie)\nhttps://indico.in2p3.fr/event/10750/contributions/3059/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3059/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Causal Dynamical Triangulations in 4D - the plot thickens
DTSTART;VALUE=DATE-TIME:20150612T093000Z
DTEND;VALUE=DATE-TIME:20150612T101500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3058@indico.in2p3.fr
DESCRIPTION:Speakers: Renate Loll (Radboud University\, Nijmegen)\nCausal
Dynamical Triangulations (CDT) is a framework for defining a nonperturbati
ve path integral for quantum gravity\, based on random geometries with a b
uilt-in space-time anisotropy\, related to the presence of a local causal
(Lorentzian) structure. In four dimensions\, several nontrivial results hi
ghlight that CDT is a serious contender for THE theory of quantum gravity\
, including the presence of second-order phase transitions and the demonst
ration that a renormalization group analysis can be performed despite the
absence of a fixed background. I will report on recent results.\n\nhttps:/
/indico.in2p3.fr/event/10750/contributions/3058/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3058/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Claude\, the early days
DTSTART;VALUE=DATE-TIME:20150612T073000Z
DTEND;VALUE=DATE-TIME:20150612T081500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3057@indico.in2p3.fr
DESCRIPTION:Speakers: Edouard Brézin (Ecole normale supérieure)\nhttps:/
/indico.in2p3.fr/event/10750/contributions/3057/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3057/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The circle packing of random hyperbolic triangulations
DTSTART;VALUE=DATE-TIME:20150612T131500Z
DTEND;VALUE=DATE-TIME:20150612T140000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3056@indico.in2p3.fr
DESCRIPTION:Speakers: Asaf Nachmias (University of British Columbia and Te
l Aviv University)\nWe study random hyperbolic planar triangulations via t
heir circle packing embedding in order to connect their geometry to that o
f the hyperbolic plane. This leads to several results: Identification of t
he Poisson and geometric boundaries\, a connection between hyperbolicity a
nd a form of non-amenability\, and a new proof of the Benjamini-Schramm re
currence result.\n\nBased on works with subsets of Omer Angel\, Martin Bar
low\, Ori Gurel-Gurevich\, Tom Hutchcroft and Gourab Ray.\n\nhttps://indic
o.in2p3.fr/event/10750/contributions/3056/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3056/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fixed-energy harmonic functions and acyclic orientations
DTSTART;VALUE=DATE-TIME:20150611T143000Z
DTEND;VALUE=DATE-TIME:20150611T151500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3055@indico.in2p3.fr
DESCRIPTION:Speakers: Richard Kenyon (Brown University)\nhttps://indico.in
2p3.fr/event/10750/contributions/3055/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3055/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Some practical problems about planar graphs: time evolution and ty
pology.
DTSTART;VALUE=DATE-TIME:20150612T101500Z
DTEND;VALUE=DATE-TIME:20150612T110000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3054@indico.in2p3.fr
DESCRIPTION:Speakers: Marc Barthelemy (IPhT)\nPlanar graphs pervade many a
spects of science: they are the subject of numerous studies in graph theor
y\, in combinatorics\, in quantum gravity\, and in biology and botanics. P
lanar networks are also extensively used to represent various infrastructu
re networks. In particular\, transportation networks and streets patterns
are the subject of many studies that are trying to characterize both topol
ogical (degree distribution\, clustering\, etc.) and geometrical (angles\,
segment length\, face area distribution\, etc.) aspects of these networks
. I will illustrate in this talk some of the problems that are encountere
d in these studies such as characterizing the structure of simplest paths\
, how to describe the time evolution of road networks and the possibility
of a typology of street patterns.\n\nhttps://indico.in2p3.fr/event/10750/c
ontributions/3054/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3054/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Quantum space time engineering
DTSTART;VALUE=DATE-TIME:20150611T123000Z
DTEND;VALUE=DATE-TIME:20150611T131500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3053@indico.in2p3.fr
DESCRIPTION:Speakers: Bianca Dittrich (Perimeter Institute)\nWe will consi
der lattice gravity approaches such as loop quantum gravity and spin foams
\, in which quantum geometry is defined via the assignment of quantum geom
etric variables to a (fixed) lattice. The main problem is then to constru
ct the refinement limit and in this way to loose the dependence on the cho
ice of lattice.\n\nI will discuss a renormalization framework in which suc
h a refinement limit can be constructed and present first results for a ra
nge of (toy) theories.\n\nhttps://indico.in2p3.fr/event/10750/contribution
s/3053/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3053/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Exponential bounds on the number of 3d causal triangulations
DTSTART;VALUE=DATE-TIME:20150610T101500Z
DTEND;VALUE=DATE-TIME:20150610T110000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3052@indico.in2p3.fr
DESCRIPTION:Speakers: Thordur Jonsson (University of Iceland)\nWe discuss
the problem of bounding the number of distinct triangulations of the 3-dim
ensional sphere. We prove that the number of causal triangulations of the
3-sphere is bounded by an exponential function of the number of tetrahedra
. We describe how the argument might be extended to 4 dimensions.\n\nhttp
s://indico.in2p3.fr/event/10750/contributions/3052/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3052/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Conformal representations of Random Maps and Surfaces
DTSTART;VALUE=DATE-TIME:20150610T143000Z
DTEND;VALUE=DATE-TIME:20150610T151500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3051@indico.in2p3.fr
DESCRIPTION:Speakers: Steffen Rohde (University of Washington)\nWhereas th
e combinatorial and metric structure of random maps are somewhat understoo
d\, a mathematical understanding of their conformal structure is still mis
sing. Motivated by the quest to find a "conformal map" from the Riemann sp
here to a Liouville quantum-gravity sphere\, I will talk about uniformizat
ion of discrete maps (based on joint work with Don Marshall)\, and discuss
an analog of Mario Bonk's carpet uniformization in the setting of the Con
formal Loop Ensemble CLE (based on joint work with Brent Werness).\n\nhttp
s://indico.in2p3.fr/event/10750/contributions/3051/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3051/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Peeling of infinite Boltzmann planar maps
DTSTART;VALUE=DATE-TIME:20150612T143000Z
DTEND;VALUE=DATE-TIME:20150612T151500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3050@indico.in2p3.fr
DESCRIPTION:Speakers: Timothy Budd (Niels Bohr Institute)\nFor a long time
it has been known that distances in random surfaces can be conveniently s
tudied by considering associated peeling processes. Inspired by recent res
ults by Curien and Le Gall in the case of random triangulations\, I will g
ive a very simple description of a particular peeling process\, and its sc
aling limit\, in the general setting of infinite Boltzmann planar maps (IB
PM)\, where one includes independent Boltzmann weights on the faces of dif
ferent degrees. I will show how using this description one can (at least h
euristically) derive many explicit asymptotic relations between various qu
antities associated to the IBPM\, including graph distance\, dual graph di
stance\, first-passage time and hop count.\n\nhttps://indico.in2p3.fr/even
t/10750/contributions/3050/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3050/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Liouville quantum gravity on Riemann surfaces
DTSTART;VALUE=DATE-TIME:20150612T081500Z
DTEND;VALUE=DATE-TIME:20150612T090000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3049@indico.in2p3.fr
DESCRIPTION:Speakers: Rémi Rhodes (Université Paris-Est)\nI will present
a generic way to construct rigorously Liouville quantum field theory on R
iemann surfaces with emphasis on the case of the Riemann sphere. The const
ruction is based on Polyakov’s functional integral and yield non trivial
conformal field theories. Then I will explain its main properties\, the r
elation with the uniformization theorem for 2d Riemann surfaces and relate
it via precise conjectures to the scaling limit of random planar maps con
formally embedded onto the Riemann sphere.\n\nBased on joint works with F.
David\, Y. Huang\, A. Kupiainen\, H. Lacoin\, V. Vargas.\n\nhttps://indic
o.in2p3.fr/event/10750/contributions/3049/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3049/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Extracting Hidden Hierarchies in Weighted Distribution Networks
DTSTART;VALUE=DATE-TIME:20150610T123000Z
DTEND;VALUE=DATE-TIME:20150610T131500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3048@indico.in2p3.fr
DESCRIPTION:Speakers: Eleni Katifori (University of Pennsylvania and Max P
lanck Institute for Dynamics and Self-Organization)\nNatural and man-made
transport webs are frequently dominated by dense sets of nested cycles. Th
e architecture of these networks\, as defined by the topology and edge wei
ghts\, determines how efficiently the networks perform their function. Yet
\, the set of tools that can characterize such a weighted cycle-rich archi
tecture in a physically relevant\, mathematically compact way is sparse. I
n order to fill this void\, we have developed an algorithm that hierarchic
ally decomposes (filters) the graph and characterizes the graph based on t
he decomposition process. The algorithm starts by identifying a physically
meaningful tiling of the network\, proceeds to sequentially remove the we
akest links as determined by the edge weight\, merge neighboring plaquette
s and and finally produces a tree characterizing this merging process. T
he properties of this characteristic tree can provide the physical and top
ological data required to describe the architecture of the network and to
build physical models. We show how this new algorithm can be used for auto
mated phenotypic characterization of 2D and 3D weighted networks the struc
ture of which is dominated by cycles\, such as the vasculature of leaves a
nd complex transportation webs.\n\nhttps://indico.in2p3.fr/event/10750/con
tributions/3048/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3048/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Hurwitz numbers and matrix models
DTSTART;VALUE=DATE-TIME:20150611T151500Z
DTEND;VALUE=DATE-TIME:20150611T160000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3047@indico.in2p3.fr
DESCRIPTION:Speakers: Leonid Chekhov (Steklov Mathematical Institute)\nHur
witz numbers enumerate combinatorial classes of mapping of genus g Riemann
surfaces on the complex projective line with branchings at a fixed number
of points (at three points for the case of Belyi pairs and Grothendieck's
dessins d'enfant and at n points for hypergeometric Hurwitz numbers). The
first variant of a matrix-model description of such mappings was proposed
by Itzykson and Di Francesco in 1993. We construct the matrix model descr
ibing the general situation of n branching points with ramification data f
ixed at two of them. All these models are tau functions of the KP hierarch
y and upon some constraints on their generating functions their solutions
can be attained using the topological recursion technique for special chai
ns of Hermitian matrices. The corresponding systems are conjecturally rela
ted to TQFTs.\n\n(Based on joint papers with Jan Ambjørn\, NBI\, Copenhag
en)\n\nhttps://indico.in2p3.fr/event/10750/contributions/3047/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3047/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random planar geometry
DTSTART;VALUE=DATE-TIME:20150612T151500Z
DTEND;VALUE=DATE-TIME:20150612T160000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3046@indico.in2p3.fr
DESCRIPTION:Speakers: Jean-François Le Gall (Université Paris-Sud et Ins
titut universitaire de France)\nWe will survey recent results showing that
the random metric space called the Brownian map appears as the continuous
limit of various classes of large discrete random graphs embedded in the
plane. These results indicate that the Brownian map is a universal model o
f random geometry in two dimensions\, which has fractal dimension four alt
hough it has the topology of the sphere. If time permits\, we will also di
scuss a recent work with Nicolas Curien\, which shows that the Brownian ma
p still appears when one considers local perturbations of the graph distan
ce\, for instance when one assigns random lengths to the edges of the grap
hs.\n\nhttps://indico.in2p3.fr/event/10750/contributions/3046/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3046/
END:VEVENT
BEGIN:VEVENT
SUMMARY:The Potts model on planar maps
DTSTART;VALUE=DATE-TIME:20150610T093000Z
DTEND;VALUE=DATE-TIME:20150610T101500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3045@indico.in2p3.fr
DESCRIPTION:Speakers: Mireille Bousquet-Mélou (CNRS\, LaBRI\, Université
de Bordeaux)\n(joint work with Olivier Bernardi\, Brandeis University)\n\
nLet q be an integer. We address the enumeration of q-colored planar maps
(planar graphs embedded in the sphere)\, counted by the total number of ed
ges and the number of monochromatic edges (those that have the same colour
at both ends). In physics terms\, we are averaging the partition function
of the Potts model over all maps of a given size. We prove that the assoc
iated generating function is algebraic when q is of the form 2 + 2 cos(jπ
/m)\, for integers j and m (but distinct from 0 and 4). This includes the
two integer values q = 2 and q = 3\, for which we give explicit algebraic
equations.\n\nFor a generic value of q\, we prove that the generating func
tion satisfies an explicit system of differential equations. Both results
hold as well for planar triangulations\, with a strikingly similar system
of differential equations.\n\nThe starting point of our approach is a rec
ursive construction of q-coloured maps\, in the spirit of what W. Tutte di
d in the seventies and eighties for properly coloured triangulations. This
model has also been addressed by other authors and other methods (Bonnet
& Eynard in 1999\, and more recently Guionnet\, Jones\, Shlyakhtenko & Zin
n-Justin\, and Borot\, Bouttier & Guitter)\, but our results are of a diff
erent nature and seem more explicit.\n\nhttps://indico.in2p3.fr/event/1075
0/contributions/3045/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3045/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Graphene Statistical Mechanics
DTSTART;VALUE=DATE-TIME:20150611T093000Z
DTEND;VALUE=DATE-TIME:20150611T101500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3044@indico.in2p3.fr
DESCRIPTION:Speakers: Mark Bowick (Syracuse University)\nGraphene provides
an ideal system to test the statistical mechanics of thermally fluctuatin
g elastic membranes. The high Young’s modulus of graphene means that the
rmal fluctuations over even small length scales significantly stiffen the
renormalized bending rigidity. We study the effect of thermal fluctuations
on graphene ribbons of width W and length L\, pinned at one end\, via coa
rse-grained Molecular Dynamics simulations and compare with analytic predi
ctions of the scaling of width-averaged root-mean-squared height fluctuati
ons as a function of distance along the ribbon. Scaling collapse as a func
tion of W and L also allows us to extract the scaling exponent eta governi
ng the long-wavelength stiffening of the bending rigidity. A full understa
nding of the geometry-dependent mechanical properties of graphene\, includ
ing arrays of cuts\, may allow the design of a variety of modular elements
with desired mechanical properties starting from pure graphene alone.\n\n
https://indico.in2p3.fr/event/10750/contributions/3044/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3044/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Random Tensors
DTSTART;VALUE=DATE-TIME:20150611T131500Z
DTEND;VALUE=DATE-TIME:20150611T140000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3043@indico.in2p3.fr
DESCRIPTION:Speakers: Vincent Rivasseau (LPT\, Université Paris-Sud)\nRan
dom tensors generalize random matrices and group field theory.Their Feynma
n perturbative expansion sums over all manifolds and a restricted class of
quasi-manifolds\, hence may be used to probe random geometries in higher
dimensions. We shall review the 1/N expansion of random tensors. It is ind
exed by a new parameter (Gurau's degree) which is not a topological invari
ant of the underlying manifold\, hence suggests new questions in enumerati
ve combinatorics. Finally we shall discuss briefly the associated class of
non-local tensor quantum field theories which generalize non-commutative
field theories.\n\nhttps://indico.in2p3.fr/event/10750/contributions/3043/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3043/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Scaling laws for large deviations in Voronoi tessellations
DTSTART;VALUE=DATE-TIME:20150611T101500Z
DTEND;VALUE=DATE-TIME:20150611T110000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3042@indico.in2p3.fr
DESCRIPTION:Speakers: Henk Hilhorst (LPT\, Université Paris-Sud)\nIn 1984
Drouffe and Itzykson asked about the probability that a randomly picked t
wo-dimensional Poisson-Voronoi cell have exactly n edges. I will discus
s the answer to this question\, obtained in 2005\, and the developments th
at have taken place since\, including recent results.\n\nhttps://indico.in
2p3.fr/event/10750/contributions/3042/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3042/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Welcome
DTSTART;VALUE=DATE-TIME:20150610T074500Z
DTEND;VALUE=DATE-TIME:20150610T081500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3041@indico.in2p3.fr
DESCRIPTION:Speakers: Anne Itzykson ()\, Michel Bauer (IPhT)\, Raphaël It
zykson ()\nhttps://indico.in2p3.fr/event/10750/contributions/3041/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3041/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Generalized & Quantum SLE Multifractality
DTSTART;VALUE=DATE-TIME:20150610T151500Z
DTEND;VALUE=DATE-TIME:20150610T160000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3040@indico.in2p3.fr
DESCRIPTION:Speakers: Bertrand Duplantier (IPhT)\nWe describe some recent
advances in the multifractality of the Schramm-Loewner evolution. This inc
ludes a generalized notion of integral means spectrum for unbounded whole-
plane SLE\, depending on two moments\, with a phase transition between a n
ew spectrum and the usual spectrum\, originally obtained via quantum gravi
ty. Conversely\, we show that any such multifractal spectrum in the plane
has a universal analogue in Liouville quantum gravity\, with specific appl
ications to SLE. \n\nBased on joint works with H. Ho\, B. Le & M. Zinsmeis
ter \; and G. Borot & J. Miller.\n\nhttps://indico.in2p3.fr/event/10750/co
ntributions/3040/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3040/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bijective proof of Hurwitz formula
DTSTART;VALUE=DATE-TIME:20150611T073000Z
DTEND;VALUE=DATE-TIME:20150611T081500Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3039@indico.in2p3.fr
DESCRIPTION:Speakers: Dominique Poulalhon (LIAFA\, Université Paris Dider
ot)\nIn 1891\, Hurwitz gives a formula for the number of some branched cov
erings of the sphere by itself\, corresponding to transitive \\(m\\)-tuple
s of transpositions such that their product has a prescribed cycle type. I
will present a combinatorial proof of this quite simple formula\, reminis
cent of combinatorial constructions for planar maps. This proof explains i
n particular why\, as formulas for planar maps involve numbers of plane tr
ees (aka Catalan trees)\, Hurwitz formula involves the number of Cayley tr
ees\, a fact that the many previous proofs of the formula do not explain.
Moreover\, the construction can be extended to a more general setting\, le
ading to results about double Hurwitz numbers of any genus. \n\nThis is a
joint work with Enrica Duchi and Gilles Schaeffer.\n\nhttps://indico.in2p3
.fr/event/10750/contributions/3039/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3039/
END:VEVENT
BEGIN:VEVENT
SUMMARY:A bivariate two-point function for planar bicolored maps
DTSTART;VALUE=DATE-TIME:20150611T081500Z
DTEND;VALUE=DATE-TIME:20150611T090000Z
DTSTAMP;VALUE=DATE-TIME:20200218T075832Z
UID:indico-contribution-10750-3038@indico.in2p3.fr
DESCRIPTION:Speakers: Emmanuel Guitter (IPhT)\nI will show how to compute
the distance-dependent two-point function of vertex-bicolored planar maps
with\, in addition to the usual control on the faces degrees\, a separate
control on the numbers of vertices of both colors. This bivariate two-poin
t function is obtained via a technique of slice decomposition and by use o
f the Stieltjes-type continued fraction formalism. If time allows\, I will
also discuss another bivariate two-point function in relation with anothe
r type of continued fractions. This is joint work with Éric Fusy.\n\nhttp
s://indico.in2p3.fr/event/10750/contributions/3038/
LOCATION:
URL:https://indico.in2p3.fr/event/10750/contributions/3038/
END:VEVENT
END:VCALENDAR