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BEGIN:VEVENT
SUMMARY:Valdo Tatitscheff (IRMA\, Strasbourg)
DTSTART;VALUE=DATE-TIME:20220516T090000Z
DTEND;VALUE=DATE-TIME:20220516T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/2
DESCRIPTION:Title: Dimer model building via triple crossing diagrams\nby Valdo Tatitsche
ff (IRMA\, Strasbourg) as part of Séminaire de physique mathématique IPh
T\n\nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisier
s.\n\nAbstract\nAfter having contextualized how dimer models arise in the
study of generalizations of the AdS/CFT correspondence\, I will explain ho
w triple crossing diagrams can be used to build dimer models satisfying sy
mmetry constraints and/or displaying substructures\, as well as to prove t
he non-existence of specific dimer models.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Rob Klabbers (Humboldt-Universität zu Berlin)
DTSTART;VALUE=DATE-TIME:20220530T090000Z
DTEND;VALUE=DATE-TIME:20220530T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/3
DESCRIPTION:Title: Integrable PDEs\, spin chains and CFT\nby Rob Klabbers (Humboldt-Univ
ersität zu Berlin) as part of Séminaire de physique mathématique IPhT\n
\nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\
n\nAbstract\nIt has been known for a long time that there are close\nconne
ctions between integrable PDEs and CFT. For example\, the\ndeep-water-wave
equation called the Benjamin-Ono (BO) equation is\nintegrable and its fir
st quantisation sits in a certain CFT. This\nconnection can be understood
by the fact that the BO equation can be\nobtained as a continuum limit of
Calogero-Sutherland (CS) models\, the\neigenfunctions of which also play a
role in the diagonalisation of the CFT.\n\nRecently a spin generalisation
of the Benjamin-Ono equation was proposed\nand named the half-wave-maps e
quation. I will discuss how this equation\nis related to CS models as well
as integrable spin chains\, thereby\nfurther entangling all these differe
nt systems and opening the door for\ninvestigations into more complex CFTs
. I will show what are the most\nnatural generalisations of this equation\
, indicating the central role\nplayed by chirality.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joonas Turunen (Laboratoire de physique\, ENS de Lyon)
DTSTART;VALUE=DATE-TIME:20220613T090000Z
DTEND;VALUE=DATE-TIME:20220613T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/4
DESCRIPTION:Title: Statistical mechanics models on random lattices of the half-plane\nby
Joonas Turunen (Laboratoire de physique\, ENS de Lyon) as part of Sémina
ire de physique mathématique IPhT\n\nLecture held in Salle Claude Itzykso
n\, Bât. 774\, Orme des Merisiers.\n\nAbstract\nIn the main part of the t
alk\, which is mostly based on joint works with Linxiao Chen\, we start fr
om a purely combinatorial problem of random planar triangulations of the d
isk coupled with an Ising model (either on the faces or the on the vertice
s) with Dobrushin boundary conditions and at a fixed temperature. We ident
ify rigorously a phase transition by analysing the critical behaviour of t
he partition functions of a large disk at and around the critical point. M
oreover\, we study the random geometric implications of this in particular
in the local limit when the disk perimeter tends to infinity. At the crit
ical temperature\, we also find some explicit scaling limits of observable
s related to the interface lengths as well as scaling limits of perimeter
fluctuations associated with a Markovian exploration process of the half-p
lane Ising triangulation. The two key techniques in use are singularity an
alysis of rational parametrizations of generating functions\, as well as t
he aforementioned exploration process. In the remaining part (time permitt
ing)\, I will explain more informally our ongoing project with Jérémie B
outtier and Grégory Miermont about how the above approach could be genera
lized to study random planar maps of a disk decorated with O(n) loop model
s (where rational parametrizations do not necessarily exist).\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Séverin Charbonnier (IRIF\, CNRS/Université de Paris)
DTSTART;VALUE=DATE-TIME:20220620T090000Z
DTEND;VALUE=DATE-TIME:20220620T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/5
DESCRIPTION:Title: Geometric recursion on combinatorial Teichmüller space\nby Séverin
Charbonnier (IRIF\, CNRS/Université de Paris) as part of Séminaire de ph
ysique mathématique IPhT\n\nLecture held in Salle Claude Itzykson\, Bât.
774\, Orme des Merisiers.\n\nAbstract\nGeometric recursion is a procedure
developed in 2017 by J.E. Andersen\, G. Borot and N. Orantin\, which gene
ralizes topological recursion. For specific choices of the initial data an
d of the target theory on which the recursion runs\, it allows to recursiv
ely construct objects that capture geometric properties of surfaces that a
re useful in mathematical physics. Together with J.E. Andersen\, G. Borot\
, A. Giacchetto\, D. Lewański and C. Wheeler\, we have established a seri
es of results allowing to promote the combinatorial Teichmüller space to
a target theory for geometric recursion.\n\nI will first describe the comb
inatorial Teichmüller space and some of its properties\; second I will de
fine geometric recursion (GR) on this space. I will then give two instance
s of this recursion: the first one is akin to Mirzakhani–McShane identit
y\, the second one is a recursive formula for the count of multicurves on
combinatorial surfaces. Last\, I will expose a set of coordinates on the c
ombinatorial Teichmüller space that is well-suited for geometric recursio
n. Those coordinates allow to recover topological recursion via a procedur
e of integration: in particular for the 2 instances of the talk\, we get a
nother proof of Witten's conjecture and a recursive formula for Masur–Ve
ech volumes.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/5/
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BEGIN:VEVENT
SUMMARY:Alexandr Garbali (University of Melbourne)
DTSTART;VALUE=DATE-TIME:20220614T090000Z
DTEND;VALUE=DATE-TIME:20220614T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/6
DESCRIPTION:Title: Shuffle algebras and integrability\nby Alexandr Garbali (University o
f Melbourne) as part of Séminaire de physique mathématique IPhT\n\nLectu
re held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\n\nAbst
ract\nI will discuss Feigin-Odesskii shuffle algebras and their connection
s with integrable models. The main example will be the trigonometric shuff
le algebra. This algebra is related to the quantum toroidal algebra of gl_
1 and is useful for studying the associated XXZ type integrable model.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Andrea Capelli (INFN and Department of Physics\, Florence\, Italy)
DTSTART;VALUE=DATE-TIME:20220711T090000Z
DTEND;VALUE=DATE-TIME:20220711T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/7
DESCRIPTION:Title: Multipoint conformal blocks and Gaudin models\nby Andrea Capelli (INF
N and Department of Physics\, Florence\, Italy) as part of Séminaire de p
hysique mathématique IPhT\n\nLecture held in Salle Claude Itzykson\, Bât
. 774\, Orme des Merisiers.\n\nAbstract\nMassless fermions and anyons on t
he surface of (3+1)-dimensional topological insulators can be described at
the semiclassical level by a non-local Abelian gauge theory involving two
gauge fields. The theory is non-trivial owing to its solitonic excitatio
ns with electric and magnetic charges. We compute the partition function a
nd the solitonic spectrum\, thus showing conformal invariance and electric
-magnetic self-duality. This theory also provides a framework for semicla
ssical bosonization of (2+1)d fermions.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Erik Tonni (SISSA)
DTSTART;VALUE=DATE-TIME:20220718T090000Z
DTEND;VALUE=DATE-TIME:20220718T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/8
DESCRIPTION:Title: Entanglement entropies for Lifshitz fermionic fields at finite density\nby Erik Tonni (SISSA) as part of Séminaire de physique mathématique I
PhT\n\nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisi
ers.\n\nAbstract\nThe entanglement entropies of an interval for the free f
ermionic spinless Schroedinger field theory at finite density and zero tem
perature are investigated. The interval is either on the line or at the be
ginning of the half line\, when either Neumann or Dirichlet boundary condi
tions are imposed at the origin. We show that the entanglement entropies a
re finite functions of a dimensionless parameter proportional to the area
of the rectangular region in the phase space identified by the Fermi momen
tum and the length of the interval. \nFor the interval on the line\, the e
ntanglement entropy is a monotonically increasing function. Instead\, for
the interval on the half line\, it displays an oscillatory behaviour relat
ed to the Friedel oscillations of the mean particle density at the entangl
ing point. \nBy employing the properties of the prolate spheroidal wave fu
nctions or the expansions of the tau functions of the kernels occurring in
the spectral problems\, determined by the two point function\, we find an
alytic expressions for the expansions of the entanglement entropies in the
asymptotic regimes of small and large area of the rectangular phase space
region. Extending our analysis to a class of free fermionic Lifshitz mode
ls\, we find that the parity of the Lifshitz exponent determines the prope
rties of the bipartite entanglement.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kirone Mallick (IPhT)
DTSTART;VALUE=DATE-TIME:20221010T090000Z
DTEND;VALUE=DATE-TIME:20221010T100000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/9
DESCRIPTION:Title: An exact solution of the macroscopic fluctuation theory\nby Kirone Ma
llick (IPhT) as part of Séminaire de physique mathématique IPhT\n\nLectu
re held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\n\nAbst
ract\nInteracting diffusive particle systems are paradigms for\nnon-equil
ibrium statistical physics. Their macroscopic behaviour follows\na variati
onal principle\, proposed by G. Jona-Lasinio and his collaborators\,\nknow
n as the Macroscopic Fluctuation Theory (MFT)\, in which physics\nout from
equilibrium is determined at a coarse-grained scale by two\ncoupled non-l
inear hydrodynamic equations.\n\nIn this talk\, we shall show that the MFT
equations for the exclusion process \nare classically integrable\, i.e. t
hey can be integrated by \ninverse scattering\, a method originally used
to study solitons in the KdV or\nthe NLS equations. Our exact solution wi
ll allow us to understand how large\ndeviations are generated by atypica
l fluctuations\, far from equilibrium.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Sofia Tarricone (Institut de Physique Théorique\, CEA Paris-Sacla
y)
DTSTART;VALUE=DATE-TIME:20221114T100000Z
DTEND;VALUE=DATE-TIME:20221114T110000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/10
DESCRIPTION:Title: On the integrability of the Airy kernel and beyond\nby Sofia Tarrico
ne (Institut de Physique Théorique\, CEA Paris-Saclay) as part of Sémina
ire de physique mathématique IPhT\n\nLecture held in Salle Claude Itzykso
n\, Bât. 774\, Orme des Merisiers.\n\nAbstract\nThe aim of this talk is t
o describe the various integrable probability models and integrable system
s related to the Airy kernel and some of its recent generalizations that I
worked on during the last years. In particular\, we will focus on the pro
perties of Fredholm determinants of the so-called finite temperature Airy
kernel and its higher order analogues (based on a joint work with T. Bothn
er and M. Cafasso) and on the properties of a finite rank deformation of t
he same (based on ongoing work with T. Claeys\, G. Glesner and G. Ruzza).\
n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Fedor Levkovich-Maslyuk
DTSTART;VALUE=DATE-TIME:20221121T100000Z
DTEND;VALUE=DATE-TIME:20221121T110000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/11
DESCRIPTION:Title: Separation of variables and correlation functions\nby Fedor Levkovic
h-Maslyuk as part of Séminaire de physique mathématique IPhT\n\nLecture
held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisiers.\n\nAbstrac
t\nI will present new results in the separation of variables (SoV) program
for integrable models. The SoV methods are expected to be very powerful b
ut until recently have been barely developed beyond the simplest gl(2) exa
mples. I will describe how to realize the SoV for any gl(N) spin chain and
demonstrate how to solve the longstanding problem of deriving the scalar
product measure in SoV. Using these results I will show how to compute a l
arge class of correlation functions and overlaps in a compact determinant
form. I will also demonstrate the power of SoV in 4d integrable CFT's such
as the 'fishnet' theory and outline highly promising applications in comp
utation of exact correlators in N=4 super Yang-Mills theory.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Philippe Biane (Institut Gaspard Monge\, CNRS et Université Paris
-Est)
DTSTART;VALUE=DATE-TIME:20221128T100000Z
DTEND;VALUE=DATE-TIME:20221128T110000Z
DTSTAMP;VALUE=DATE-TIME:20221209T124338Z
UID:IPHT-PHM/12
DESCRIPTION:Title: Processus d'exclusion simple quantique et cumulants libres\nby Phili
ppe Biane (Institut Gaspard Monge\, CNRS et Université Paris-Est) as part
of Séminaire de physique mathématique IPhT\n\nLecture held in Salle Cla
ude Itzykson\, Bât. 774\, Orme des Merisiers.\n\nAbstract\nJe montrerai c
omment les fluctuations du processus d'exclusion simple quantique (une ver
sion quantique du fameux processus d'exclusion\, qui a été introduite r
écemment dans la littérature physique) peuvent être décrites au moyen
de cumulants libres\, des quantités qui apparaissent dans un tout autre d
omaine: les probabilités libres et les matrices aléatoires.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/12/
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