BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jürg Fröhlich (ETH Zürich) DTSTART:20200709T150000Z DTEND:20200709T163000Z DTSTAMP:20260404T111004Z UID:AQFP/1 DESCRIPTION:Title: Results on interacting Bose Gases\nby Jürg Fröhlich (ETH Zürich ) as part of Analysis\, Quantum Fields\, and Probability\n\nAbstract: TBA\ n LOCATION:https://stable.researchseminars.org/talk/AQFP/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Thierry Bodineau (Ecole Polytechnique) DTSTART:20200917T150000Z DTEND:20200917T163000Z DTSTAMP:20260404T111004Z UID:AQFP/2 DESCRIPTION:Title: Log-Sobolev inequality for the continuum sine-Gordon model\nby Thi erry Bodineau (Ecole Polytechnique) as part of Analysis\, Quantum Fields\, and Probability\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/AQFP/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Aizenman (Princeton) DTSTART:20201210T160000Z DTEND:20201210T173000Z DTSTAMP:20260404T111004Z UID:AQFP/3 DESCRIPTION:Title: Marginal triviality of the scaling limits of 4D critical Ising and $\\ Phi^4$ models\nby Michael Aizenman (Princeton) as part of Analysis\, Q uantum Fields\, and Probability\n\n\nAbstract\nThe talk will present the r ecent proof that in four\ndimensions the spin fluctuations of Ising-type m odels at their critical\npoints are Gaussian in their scaling limits (infi nite volume\, vanishing\nlattice spacing). Similar statement is proven fo r the scaling limits of\nmore general $\\Phi^4$ fields constructed through a lattice cutoff. The\nproofs are facilitated by the systems’ random cu rrent representation\, in\nwhich the deviation from Wick's law are express ed in terms of\nintersection probabilities of random currents with prescri bed sources.\nThis approach previously yielded such statements for D>4. Th eir recent\nextension to the marginal dimension was enabled by a multiscal e analysis\nof the critical clusters’ intersections. (Joint work with Hugo\nDuminil-Copin.)\n LOCATION:https://stable.researchseminars.org/talk/AQFP/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Vincent Vargas (Ecole Normale Supérieure) DTSTART:20201112T160000Z DTEND:20201112T173000Z DTSTAMP:20260404T111004Z UID:AQFP/4 DESCRIPTION:Title: Liouville conformal field theory: equivalence between the path integra l and the bootstrap construction\nby Vincent Vargas (Ecole Normale Sup érieure) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbst ract\nLiouville conformal field theory (LCFT) is a family of Conformal fie ld theories which arise in a wide variety of contexts in the physics and t he probabilistic literature: SUSY Yang-Mills\, the scaling limit of large planar maps\, etc... There are two main and seemingly unrelated approaches to LCFT in the physics literature: one in the Feynman path integral formu lation and one in the conformal bootstrap approach. Recently\, we construc ted rigorously LCFT in the Feynman path integral formulation via probabili ty theory (and more specifically the Gaussian Free Field). In this talk\, I will present recent work which shows that both approaches (probabilistic construction of the Feynman path integral and conformal bootstrap) are in fact identical. A key ingredient in our work is the analysis of an infini te dimensional semigroup\, the so-called Liouville semigroup. Based on a s eries of joint works with C. Guillarmou\, F. David\, A. Kupiainen and R. R hodes.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Slava Rychkov (IHES) DTSTART:20201008T150000Z DTEND:20201008T163000Z DTSTAMP:20260404T111004Z UID:AQFP/5 DESCRIPTION:Title: CFT Osterwalder-Schrader Theorem\nby Slava Rychkov (IHES) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstract\nMost QFT axi oms are only good to prove theorems but not to compute anything measurable . One exception are the Euclidean Conformal Field Theory (CFT) axioms in d >=3 dimensions\, which do lead to surprisingly strong “bootstrap" constr aints on scaling dimensions of various conjecturally existing Euclidean CF Ts (such as the critical point of the 3d Ising and O(2) models). In this t alk I will not discuss the bootstrap as such\, but I will explain the Eucl idean CFT axioms and will relate them to the Osterwalder-Schrader and Wigh tman axioms. The OS linear growth condition does not obviously follow from the Euclidean CFT axioms\, but fortunately there is a route to Wightman a xioms which does not rely on the Glaser-Osterwalder-Schrader construction. Based on work in progress with Petr Kravchuk and Jiaxin Qiao.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Marcello Porta (SISSA) DTSTART:20210114T160000Z DTEND:20210114T173000Z DTSTAMP:20260404T111004Z UID:AQFP/6 DESCRIPTION:Title: Anomaly non-renormalization in interacting Weyl semimetals\nby Mar cello Porta (SISSA) as part of Analysis\, Quantum Fields\, and Probability \n\n\nAbstract\nWeyl semimetals are three-dimensional condensed matter sys tems characterized by a degenerate Fermi surface\, consisting of a pair of `Weyl nodes'. Correspondingly\, in the infrared limit\, these systems beh ave effectively as Weyl fermions in 3+1 dimensions. As predicted by Nielse n and Ninomiya in 1983\, when exposed to electromagnetic fields these mate rials are expected to simulate the axial anomaly of QED\, by giving rise t o a net quasi-particle flow between Weyl nodes.\n \n\nWe consider a class of interacting lattice models for Weyl semimetals and prove that the quadr atic response of the quasi-particle flow is universal\, and equal to the c hiral triangle graph of QED. Universality is the counterpart of the Adler- Bardeen non-renormalization property of the axial anomaly for QED\, in a c ondensed matter setting. Our proof relies on the rigorous Wick rotation fo r real-time transport coefficients\, on constructive bounds for Euclidean ground state correlations\, and on lattice Ward Identities. Joint work wit h A. Giuliani and V. Mastropietro.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Laszlo Erdös (IST Austria) DTSTART:20210211T160000Z DTEND:20210211T173000Z DTSTAMP:20260404T111004Z UID:AQFP/7 DESCRIPTION:Title: Eigenstate thermalisation hypothesis and functional CLT for Wigner mat rices\nby Laszlo Erdös (IST Austria) as part of Analysis\, Quantum Fi elds\, and Probability\n\n\nAbstract\nWe prove that any deterministic mat rix is approximately the identity in the eigenbasis of a large random Wign er matrix W with an optimal error inversely proportional to the square roo t of the dimension. This verifies a strong form of Quantum Unique Ergodic ity with an optimal convergence rate and we also prove Gaussian fluctuatio ns around this convergence after a small spectral averaging. This requires to extend the classical CLT for linear eigenvalue statistics\, Tr f(W)\, to include a deterministic matrix A and we identify three different mode s of fluctuation for Tr f(W)A in the entire mesoscpic regime. The key tech nical tool is a new multi-resolvent local law for Wigner ensemble.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Roberto Longo (Roma "Tor Vergata") DTSTART:20210311T160000Z DTEND:20210311T173000Z DTSTAMP:20260404T111004Z UID:AQFP/8 DESCRIPTION:Title: The massive modular Hamiltonian\nby Roberto Longo (Roma "Tor Verga ta") as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstract\ nA solution of the Klein-Gordon equation can be viewed as a signal carried by a classical wave packet\, or as the wave function of a quantum particl e\, or as a coherent state in Quantum Field Theory. Our recent work concer ns the definition\, computation and interpretation of the local entropy of this object and its relation to quantum energy inequalities. The Operator Algebraic approach\, in particular the Tomita-Takesaki modular theory\, p rovides a natural framework and powerful methods for our analysis. In this talk\, I will discuss part of the general ground for our analysis and som e key results\, in particular the solution of an old problem in QFT: the d escription of the modular Hamiltonian associated with a space ball B in th e free scalar massive QFT\; this sets up the formula for the entropy densi ty of a real wave packet.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Hendrik Weber (Bath) DTSTART:20210610T150000Z DTEND:20210610T163000Z DTSTAMP:20260404T111004Z UID:AQFP/9 DESCRIPTION:Title: Gibbs measures in infinite dimensions - Some new results on a classica l topic\nby Hendrik Weber (Bath) as part of Analysis\, Quantum Fields\ , and Probability\n\n\nAbstract\nGibbs measures on spaces of functions or distributions play an important role in \nvarious contexts in mathematical physics. They can\, for example\, be viewed as continuous \ncounterparts of classical spin models such as the Ising model\, they are an important stepping \nstone in the rigorous construction of Quantum Field Theories\, and they are invariant under the \nflow of certain dispersive PDEs\, permi tting to develop a solution theory with random initial data\, \nwell below the deterministic regularity threshold. \n\nThese measures have been cons tructed and studied\, at least since the 60s\, but over the last few \nyea rs there has been renewed interest\, partially due to new methods in stoch astic analysis\, including\nHairer’s theory of regularity structures and Gubinelli-Imkeller-Perkowski’s theory of \nparacontrolled distributions . \n\nIn this talk I will present two independent but complementary result s that can be obtained with \nthese new techniques. I will first show how to obtain estimates on samples from of the Euclidean \n$\\phi^4_3$ measure \, based on SPDE methods. I will then discuss a new method to show the \ne mergence of phase transitions in the phi^4_3 theory. \n\nThis is based on joint works with \nA. Chandra\, A. Moinat https://arxiv.org/abs/1910.13 854\n\nand \n\nA. Chandra\, T. Gunaratnam https://arxiv.org/abs/2006.159 33\n LOCATION:https://stable.researchseminars.org/talk/AQFP/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Thomas Faulkner DTSTART:20210408T150000Z DTEND:20210408T163000Z DTSTAMP:20260404T111004Z UID:AQFP/10 DESCRIPTION:Title: Algebraic approach to quantum error correction and the AdS/CFT corres pondence\nby Thomas Faulkner as part of Analysis\, Quantum Fields\, an d Probability\n\n\nAbstract\nI will discuss the quantum error correction ( QEC) approach to the AdS/CFT correspondence from an algebraic point of vie w. I will study exact QEC codes as models of AdS/CFT and connect these mo dels to Longo-Rehren subnets. I do this by proving the existence of a cons istent assignment of conditional expectations acting on the boundary theor y algebras. I will also discuss shortcomings of these exact codes that wil l hopefully be fixed by introducing small errors.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Andras Vasy (Stanford) DTSTART:20210701T150000Z DTEND:20210701T163000Z DTSTAMP:20260404T111004Z UID:AQFP/11 DESCRIPTION:Title: The Feynman propagator and its positivity properties\nby Andras V asy (Stanford) as part of Analysis\, Quantum Fields\, and Probability\n\n\ nAbstract\nOne usually considers wave equations as evolution equations\, i .e. imposes initial data and solves them. Equivalently\, one can consider the forward and backward solution operators for the wave equation\; these solve an equation $Lu=f$\, for say $f$ compactly supported\, by demanding that $u$ is supported at points which are reachable by forward\, respectiv ely backward\, time-like or light-like curves. This property corresponds t o causality. But it has been known for a long time that in certain setting s\, such as Minkowski space\, there are other ways of solving wave equatio ns\, namely the Feynman and anti-Feynman solution operators (propagators). I will explain a general setup in which all of these propagators are inve rses of the wave operator on appropriate function spaces\, and also mentio n positivity properties\, and the connection to spectral and scattering th eory in Riemannian settings\, self-adjointness\, as well as to the classic al parametrix construction of Duistermaat and Hormander.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Abdelmalek Abdesselam (U Virginia) DTSTART:20211014T150000Z DTEND:20211014T163000Z DTSTAMP:20260404T111004Z UID:AQFP/12 DESCRIPTION:Title: Exploring conformal invariance with hierarchical models\nby Abdel malek Abdesselam (U Virginia) as part of Analysis\, Quantum Fields\, and P robability\n\n\nAbstract\nIn the context of the AdS/CFT correspondence\, i n Euclidean signature\, an important basic fact is the bijection between c onformal transformations of the boundary and hyperbolic isometries of the bulk. An infinite regular tree with the graph distance can be seen as a qu intessential bare-bones version of a hyperbolic space. It turns out there is a natural way to define analogues of conformal maps on the boundary of such a tree and\, quite miraculously\, these are in bijection with tree is ometries. Moreover\, a Euclidean QFT on this boundary is the same as a hie rarchical model as considered by Dyson in his study of the long-range Isin g model and by Wilson when he introduced the approximate renormalization g roup recursion. I will try to give a pedagogical introduction to this circ le of ideas\, and I will discuss a particular model where there is hope to be able to prove conformal invariance from first principles via a rigorou s nonperturbative renormalization group approach.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Sourav Chatterjee (Stanford) DTSTART:20211111T160000Z DTEND:20211111T173000Z DTSTAMP:20260404T111004Z UID:AQFP/13 DESCRIPTION:Title: Some progress on 3D Yang-Mills\nby Sourav Chatterjee (Stanford) a s part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstract\nI wil l talk about some recent progress on the problem of constructing 3D Euclid ean Yang-Mills theories. This is based on joint work with Sky Cao.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/13/ END:VEVENT BEGIN:VEVENT SUMMARY:Yoshiko Ogata (Tokyo) DTSTART:20220113T120000Z DTEND:20220113T133000Z DTSTAMP:20260404T111004Z UID:AQFP/14 DESCRIPTION:Title: An invariant of symmetry protected topological phases with on-site fi nite group symmetry for two-dimensional Fermion systems\nby Yoshiko Og ata (Tokyo) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAb stract\nWe consider SPT-phases with on-site finite group G symmetry for tw o-dimensional Fermion systems.We derive an invariant of the classification .\n LOCATION:https://stable.researchseminars.org/talk/AQFP/14/ END:VEVENT BEGIN:VEVENT SUMMARY:Tom Kennedy (Arizona) DTSTART:20211209T160000Z DTEND:20211209T173000Z DTSTAMP:20260404T111004Z UID:AQFP/15 DESCRIPTION:Title: Renormalization group maps for Ising models and tensor networks\n by Tom Kennedy (Arizona) as part of Analysis\, Quantum Fields\, and Probab ility\n\n\nAbstract\nWe will briefly review Wilson-Kadanoff type renormal ization group (RG) maps for Ising spin systems and the lack of progress in proving that there is a non-trivial fixed point for these maps. (These ma ps are also known as real-space RG transformations.) The Ising model can b e written as a tensor network\, and RG maps can be defined in the tensor n etwork formalism. Numerical studies of such RG maps have been quite succes sful at reproducing the known critical behavior in two dimensions. In join t work with Slava Rychkov we proved that in two dimensions for a particula r tensor network RG map the high temperature fixed point is locally stable \, i.e.\, there is a neighborhood of the high temperature fixed point such that for an initial tensor in this neighborhood\, the iterations of the R G map converge to the high temperature fixed point. We hope that this is a modest first step towards proving the existence of a non-trivial fixed po int for a tensor network RG map which would correspond to the critical poi nt of the Ising model.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/15/ END:VEVENT BEGIN:VEVENT SUMMARY:Simone Warzel (TUM) DTSTART:20200210T160000Z DTEND:20200210T173000Z DTSTAMP:20260404T111004Z UID:AQFP/16 DESCRIPTION:by Simone Warzel (TUM) as part of Analysis\, Quantum Fields\, and Probability\n\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/AQFP/16/ END:VEVENT BEGIN:VEVENT SUMMARY:Alessandro Giuliani (Roma Tre) DTSTART:20220324T160000Z DTEND:20220324T173000Z DTSTAMP:20260404T111004Z UID:AQFP/17 DESCRIPTION:Title: Renormalization at all orders for lattice infrared QED4 with massless electron\nby Alessandro Giuliani (Roma Tre) as part of Analysis\, Qua ntum Fields\, and Probability\n\n\nAbstract\nOne of the goals of construct ive Quantum Field Theory (QFT) is to provide a convergent algorithm for co mputing a consistent set of Euclidean correlation functions starting from a given bare action and\, next\, to reconstruct the corresponding real-tim e correlations via analytic continuation in the time variable. This progra m proved successful for constructing several low dimensional toy QFT model s but results in 3 and 4 dimensions are still scarce. Until now\, not even a consistent construction of infrared QED4 with small electron mass at al l orders in renormalized perturbation theory was available\, unless a loop regularization scheme was employed or a number of non-gauge-invariant cou nter-terms were included in the bare action.\nIn this talk I will describe such a consistent construction\, at all orders in renormalized perturbati on theory\, in a lattice gauge theory model of QED4 with massless electron and no other counter-term than the one for the electron mass. We also pro ve that\, in the presence of an infrared (IR) cutoff on the photon propaga tor\, the model is non-perturbatively well-defined\, provided the electron charge is sufficiently small (a priori\, non-uniformly in the IR cutoff). \nThe proof is based on a Wilsonian Renormalization Group (RG) scheme and uses ideas developed in the last decade in the context of lattice gauge th eory models of graphene and Weyl semimetals. In particular\, we use Ward I dentities at each RG step to control the flow of the effective couplings\, including the non-gauge-invariant ones produced at intermediate steps by the multiscale procedure\, and prove their infrared asymptotic freedom. Ti me permitting\, I will comment on the perspectives opened by this and rela ted works on the full construction of infrared QED4\, on the non-perturbat ive computation of the chiral anomaly and on the spontaneous emergence of Lorentz symmetry. Joint work with Marco Falconi and Vieri Mastropietro.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/17/ END:VEVENT BEGIN:VEVENT SUMMARY:Alexander Stottmeister (U Hannover) DTSTART:20220407T150000Z DTEND:20220407T163000Z DTSTAMP:20260404T111004Z UID:AQFP/18 DESCRIPTION:Title: On the scaling limit of the Ising anyon chain\nby Alexander Stott meister (U Hannover) as part of Analysis\, Quantum Fields\, and Probabilit y\n\n\nAbstract\nIn this talk I will present a Hamiltonian approach to the scaling limit of the Ising anyon chain\, a 1+1-dimensional instance of th e classical 2-dimensional Ising model. The scaling limit is constructed us ing an operator algebraic formulation of the Wilson-Kadanoff renormalizati on group. At criticality\, conformal symmetry is recovered by showing the convergence of the Koo-Saleur formula\, approximating the Virasoro generat ors.\n\nIf time permits\, I will comment on applications to the quantum si mulation of conformal field theories.\n\nThis is joint work with Tobias J. Osborne and Daniela Cadamuro\, and based on previous work with Vincenzo M orinelli\, Gerardo Morsella and Yoh Tanimoto.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/18/ END:VEVENT BEGIN:VEVENT SUMMARY:Bjoern Bringmann (IAS Princeton) DTSTART:20220609T150000Z DTEND:20220609T160000Z DTSTAMP:20260404T111004Z UID:AQFP/19 DESCRIPTION:Title: Invariant Gibbs measures for the three-dimensional cubic nonlinear wa ve equation\nby Bjoern Bringmann (IAS Princeton) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstract\nIn this talk\, we prove t he invariance of the Gibbs measure for the three-dimensional cubic nonline ar wave equation\, which is also known as the hyperbolic $\\Phi^4_3$-model . This result is the hyperbolic counterpart to seminal works on the parabo lic $\\Phi^4_3$-model by Hairer ’14 and Hairer- Matetski ’18.\nIn the first half of this talk\, we illustrate Gibbs measures in the context of H amiltonian ODEs\, which serve as toy-models. We also connect our theorem w ith classical and recent developments in constructive QFT\, dispersive PDE s\, and stochastic PDEs.\nIn the second half of this talk\, we give a non- technical overview of the proof. As part of this overview\, we first intro duce a caloric representation of the Gibbs measure\, which leads to an int er- play of both parabolic and hyperbolic theories. Then\, we briefly disc uss the local dynamics of the cubic nonlinear wave equation\, focusing on a hidden cancellation between sextic stochastic objects.\nThis is joint wo rk with Y. Deng\, A. Nahmod\, and H. Yue.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/19/ END:VEVENT BEGIN:VEVENT SUMMARY:Massimiliano Gubinelli (U Bonn) DTSTART:20220512T150000Z DTEND:20220512T160000Z DTSTAMP:20260404T111004Z UID:AQFP/20 DESCRIPTION:Title: What is stochastic quantization?\nby Massimiliano Gubinelli (U Bo nn) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstract\n In this talk I will introduce the idea of stochastic quantization from a m athematical perspective\, as a tool to analyze rigorously Euclidean quantu m fields. I will show that there are several different "stochastic quantiz ations” and I will attempt to exemplify common structures which take the form of a stochastic analysis of Euclidean quantum fields.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/20/ END:VEVENT BEGIN:VEVENT SUMMARY:Kasia Rejzner (U York) DTSTART:20220714T150000Z DTEND:20220714T160000Z DTSTAMP:20260404T111004Z UID:AQFP/21 DESCRIPTION:Title: Symmetries in (perturbative) algebraic quantum field theory\nby K asia Rejzner (U York) as part of Analysis\, Quantum Fields\, and Probabili ty\n\n\nAbstract\nIn this talk I will review recent progress on describing symmetries and renormalisation using the C*-algebraic framework proposed by Buchholz and Fredenhagen in their paper from 2019. The recent progress involves the formulation of renormalisation group and the anomalous unitar y quantum Noether theorem. This is based on a join paper with Brunetti\, D uetsch and Fredenhagen.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/21/ END:VEVENT BEGIN:VEVENT SUMMARY:Wei Wu (NYU Shanghai) DTSTART:20221013T150000Z DTEND:20221013T160000Z DTSTAMP:20260404T111004Z UID:AQFP/22 DESCRIPTION:Title: Massless phases for the Villain model in d>=3\nby Wei Wu (NYU Sha nghai) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstrac t\nThe XY and the Villain models are models which exhibit the celebrated K osterlitz-Thouless phase transitions in two dimensions. The spin wave conj ecture\, originally proposed by Dyson and by Mermin and Wagner\, predicts that at low temperature\, spin correlations of these models are closely re lated to Gaussian free fields. I will review the historical background and discuss some recent progress on this conjecture in d>=3. Based on the joi nt work with Paul Dario (CNRS).\n LOCATION:https://stable.researchseminars.org/talk/AQFP/22/ END:VEVENT BEGIN:VEVENT SUMMARY:Paweł Duch (U Poznan) DTSTART:20221110T160000Z DTEND:20221110T170000Z DTSTAMP:20260404T111004Z UID:AQFP/23 DESCRIPTION:Title: Weak universality and singular stochastic PDEs\nby Paweł Duch (U Poznan) as part of Analysis\, Quantum Fields\, and Probability\n\n\nAbstr act\nThe macroscopic or mesoscopic dynamics of many systems interacting wi th a random or chaotic environment can be described in terms of singular ( i.e. classically ill-posed) stochastic partial differential equations. Typ ically\, such stochastic PDEs depend only on a few parameters and govern t he large-scale behavior of a huge number of different microscopic systems. This property is called universality.\n\nIn the talk\, I will discuss the proof of the universality of the macroscopic scaling limit of solutions o f a class of parabolic stochastic PDEs with fractional Laplacian\, additiv e noise and polynomial non-linearity. I consider the so-called weakly non- linear regime and not necessarily Gaussian noises which are stationary\, c entered\, sufficiently regular and satisfy some integrability and mixing c onditions. The result applies to situations when the singular stochastic P DE obtained in the scaling limit is close to critical and extends some of the existing universality results about the continuous interface growth mo dels and the phase coexistence models whose large scale behavior is govern ed by the KPZ equation and the dynamical $\\Phi^4_3$ model\, respectively. \n\nThe proof uses a novel approach to singular stochastic PDEs based on t he renormalization group flow equation. A nice feature of the method is th at it covers the full sub-critical (i.e. super-renormalizable) regime\, do es not use any diagrammatic representation and avoids all combinatorial pr oblems. Based on arXiv:2109.11380.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/23/ END:VEVENT BEGIN:VEVENT SUMMARY:Wojciech de Roeck DTSTART:20230309T160000Z DTEND:20230309T170000Z DTSTAMP:20260404T111004Z UID:AQFP/24 DESCRIPTION:Title: Classification of short-range entangled quantum states and pumping pr ocesses\nby Wojciech de Roeck as part of Analysis\, Quantum Fields\, a nd Probability\n\n\nAbstract\nI will introduce the topic of classification of short-range entangled quantum states. Physically speaking\, these stat es are ground states of gapped Hamiltonians without any intrinsic topologi cal order (ie. no anyonic excitations\, for example)\, but one can define them in a neat abstract way that avoids such elaborate concepts. \nI will try to sketch some open problems\, and some results. In particular on the classification of pumping processes of such states\, which can be viewed as a generalization of Thouless pumps.\n LOCATION:https://stable.researchseminars.org/talk/AQFP/24/ END:VEVENT END:VCALENDAR