BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Christian Brennecke (University of Bonn) DTSTART:20260310T130000Z DTEND:20260310T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/1 DESCRIPTION:Title: O n the Leading Order Term of the Lattice Yang-Mills Free Energy\nby Chr istian Brennecke (University of Bonn) as part of Probability\, Statistical Mechanics and Quantum Fields\n\nLecture held in 132\, via Bonomea 265\, S ISSA\, Trieste.\n\nAbstract\nIn a recent paper\, S. Chatterjee determined the leading order term of the free energy of U(N) lattice Yang-Mills theor y in $\\Lambda_n=\\{0\,\\ldots\,n\\}^d\\subset \\bZ^d$\, for every $N\\geq 1$ and $d\\geq 2$. The formula is explicit apart from a contribution $K_d $ which corresponds to the limiting free energy of lattice Maxwell theory with boundary conditions induced by the axial gauge. After a brief motivat ion\, I recall some of the key steps to obtain the leading order term of t he free energy and I explain an equivalent characterization of $K_d$ that admits its explicit computation\, for every $d\\geq 2$.\n LOCATION:https://researchseminars.org/talk/PSMQFT/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Giorgio Cipolloni (University of Rome Tor Vergata) DTSTART:20260324T130000Z DTEND:20260324T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/2 DESCRIPTION:Title: A tale of large random matrices and logarithmically correlated fields (part 1)\nby Giorgio Cipolloni (University of Rome Tor Vergata) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nWe w ill review recent results in random matrix theory\, with a focus on spectr al properties of large non-Hermitian matrices with independent\, identical ly distributed entries.\nWe will then discuss an intriguing connection of such matrices with the theory of logarithmically correlated fields and wit h the fluctuations of their extremes.\n LOCATION:https://researchseminars.org/talk/PSMQFT/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Nikolay Barashkov (Max Planck Institute\, Leipzig) DTSTART:20260519T120000Z DTEND:20260519T140000Z DTSTAMP:20261026T105441Z UID:PSMQFT/3 DESCRIPTION:Title: T he flow approach to SPDEs with boundary conditions\nby Nikolay Barashk ov (Max Planck Institute\, Leipzig) as part of Probability\, Statistical M echanics and Quantum Fields\n\n\nAbstract\nWe will discuss how to study re normalisation of Stochastic PDEs in the presence of Boundary conditions\, using the flow approach introduced by Pawel Duch. In particular we look at the $\\Phi^4$ equation with Dirichlet boundary conditions on a general do main with smooth boundary. We find the need for additional renormalisation accounting for the boundary conditions\, as in previous work of Gerencer and Hairer. We show that this boundary renormalisation can be taken consta nt even for domains with curved boundary. This is joint work with Majdouli ne Borji and Leonard Ferdinand.\n LOCATION:https://researchseminars.org/talk/PSMQFT/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Malin Forsström (Chalmers University of Technology) DTSTART:20260512T120000Z DTEND:20260512T140000Z DTSTAMP:20261026T105441Z UID:PSMQFT/4 DESCRIPTION:Title: L attice gauge theories and the toric code\nby Malin Forsström (Chalmer s University of Technology) as part of Probability\, Statistical Mechanics and Quantum Fields\n\nLecture held in Room 138\, via Bonomea 265\, Triest e.\n\nAbstract\nThe toric code\, introduced by Kitaev in 1997\, is a quant um spin system that can be used to construct stable logical qubits from no isy physical qubits. As a quantum spin system\, the toric code also has se veral classical analogs\, one of which is an anisotropic lattice Higgs mod el. In this talk\, we briefly introduce the toric code and then discuss th e interesting properties of the analog lattice Higgs model\, focusing in p articular on how the anisotropic Higgs model compares to its isotropic cou nterparts.\n LOCATION:https://researchseminars.org/talk/PSMQFT/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Lucas Broux (SISSA) DTSTART:20260205T130000Z DTEND:20260205T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/5 DESCRIPTION:Title: A geometric view upon the renormalisation of stochastic PDEs: the example o f $\\Phi^4$\nby Lucas Broux (SISSA) as part of Probability\, Statistic al Mechanics and Quantum Fields\n\nLecture held in 004 via Bonomea 265\, S ISSA.\n\nAbstract\nIn this talk\, I wish to present some ideas concerning the well-posedness of the $\\Phi^4$ equation\, which is a stochastic parti al differential equation (SPDE) with a cubic nonlinearity and perturbed by an additive random (and rough) noise. More precisely\, we are interested in the range of noises where this SPDE is singular (i.e. is classically il l-posed) but subcritical (i.e. the nonlinearity formally vanishes at small scales). In this range\, even giving a meaning to the equation is highly non-trivial and relies on an appropriate procedure of regularisation and r enormalisation\, as was first understood by Da Prato and Debussche (2003) and later widely generalised by several approaches including Hairer's theo ry of regularity structures (2014).\nI will\, on the one hand\, introduce some of the important insights in the theory of singular SPDEs\, and\, on the other hand\, present some more recent contributions. In particular\, I will be describing how taking a geometric viewpoint upon the solution man ifold gives rise to a new perspective on what in the theory of regularity structures is called a ``model'' for the equation. If time permits\, I wil l also briefly present a recently-developed ``intrinsic'' approach for the actual solution theory\, yielding well-posedness of the equation given th is model as input.\n(Based on joint works with Felix Otto\, Rhys Steele an d Markus Tempelmayr).\n\nThe talk is in room 004 on ground floor of SISSA\ , via Bonomean 265. Zoom access is also provided.\n LOCATION:https://researchseminars.org/talk/PSMQFT/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Leonardo Goller (SISSA) DTSTART:20260219T100000Z DTEND:20260219T120000Z DTSTAMP:20261026T105441Z UID:PSMQFT/6 DESCRIPTION:Title: L ong Range Order in a Euclidean Gross-Neveu model on the lattice\nby Le onardo Goller (SISSA) as part of Probability\, Statistical Mechanics and Q uantum Fields\n\n\nAbstract\nThe Gross–Neveu (GN) model is a quantum fie ld theory in $1+1$ dimensions describing $N$ massless Dirac fermions inter acting through an attractive four-fermion coupling. Introduced by Gross an d Neveu \\cite{PhysRevD.10.3235} as a toy model for QCD\, it shares two of its key features: asymptotic freedom and dynamical mass generation via sp ontaneous breaking of a $\\mathbb{Z}_2$ chiral symmetry\, allowing the fer mion bilinear $(\\overline{\\psi}\\psi)(x)$ to acquire a non-zero expectat ion value.\n\nIn this talk\, we rigorously prove that a Euclidean lattice formulation of the Gross–Neveu model introduced by Cohen\, Elitzur and R abinovici exhibits long-range order in the $\\mathbb{Z}_2$-charged fermion bilinear $\\overline{\\psi}\\psi$ for sufficiently large $N$ in two space time dimensions.\n\nThe proof relies on reflection positivity of the boson ized measure obtained via a Hubbard–Stratonovich transformation of the f ermionic action and\, in particular\, on chessboard estimates in the spiri t of Fröhlich and Lieb (1978).\n\nJoint work with Simone Fabbri (SISSA)\n LOCATION:https://researchseminars.org/talk/PSMQFT/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Michael Hofstetter (Weizmann Institute) DTSTART:20260305T100000Z DTEND:20260305T120000Z DTSTAMP:20261026T105441Z UID:PSMQFT/7 DESCRIPTION:Title: A stochastic control approach to Euclidean field theories with exponential interaction\nby Michael Hofstetter (Weizmann Institute) as part of Pro bability\, Statistical Mechanics and Quantum Fields\n\nLecture held in Roo m 136\, via Bonomea 265\, SISSA.\n\nAbstract\nIn this talk\, I demonstrate how to obtain couplings of the Liouville field and the sinh-Gordon field with the Gaussian free field in dimension $d=2$\, such that the difference is in a Sobolev space of regularity $\\alpha>1$. The analysis covers the entire $L^2$ phase. The main tool is the variational approach to Euclidean field theories by Barashkov and Gubinelli applied to field theories with exponential interaction. The additional key ingredients are estimates for the short scales of the minimizer of the variational problem and several a pplications of the Brascamp-Lieb inequality.\n LOCATION:https://researchseminars.org/talk/PSMQFT/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Simone Fabbri (SISSA) DTSTART:20260317T130000Z DTEND:20260317T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/8 DESCRIPTION:Title: N on-perturbative renormalization for lattice massive QED2: the ultraviolet problem\nby Simone Fabbri (SISSA) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nI will consider a lattice reg ularization of the massive QED in 2d\, describing a Dirac fermion interact ing with a massive vector field\, in the regime in which the fermion mass is much smaller than the boson mass and the latter is much smaller than th e ultraviolet cut-off\, which is the suitable one to mimic a realistic 4d massive gauge theory like the Electroweak sector. The presence of the latt ice and of non-zero fermion mass breaks any solvability property. I will s how that the effective action obtained after the integration of the ultrav iolet degrees of freedom is expressed by expansions which are convergent f or values of the coupling (electric charge) independent on the fermion mas s and the ultraviolet cut-off\, and with cut-off-independent bare paramete rs. By combining this result with the analysis of the infrared part in pre vious papers we get a complete construction of the model and a number of p roperties whose analogous are expected to hold in 4d. As I will discuss\, the choice of lattice rather than momentum regularization\, essential for ensuring Ward Identities\, requires the development of new methods to get the necessary non-perturbative bounds. \nBased on a recent joint work with V. Mastropietro (Roma La Sapienza) and B. Renzi (SISSA).\n LOCATION:https://researchseminars.org/talk/PSMQFT/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Marcello Dalmonte (ICTP) DTSTART:20260603T080000Z DTEND:20260603T100000Z DTSTAMP:20261026T105441Z UID:PSMQFT/9 DESCRIPTION:Title: L attice gauge theories: a perspective from quantum computing and simulation s\nby Marcello Dalmonte (ICTP) as part of Probability\, Statistical Me chanics and Quantum Fields\n\n\nAbstract\nLattice gauge theories are a fun damental tool in theoretical physics\, originally conceived within the the ory of strong interactions\, which has found applications in multiple fiel ds since. I will present an unconventional\, self-contained introduction t o lattice gauge theories in the Hamiltonian formulation\, utilizing tools from statistical mechanics\, and then discuss the framework application to quantum simulation\, utilizing epitome theories.\n LOCATION:https://researchseminars.org/talk/PSMQFT/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Giorgio Cipolloni (University of Rome Tor Vergata) DTSTART:20260326T130000Z DTEND:20260326T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/10 DESCRIPTION:Title: A tale of large random matrices and logarithmically correlated fields (par t 2)\nby Giorgio Cipolloni (University of Rome Tor Vergata) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nWe will review recent results in random matrix theory\, with a focus on spect ral properties of large non-Hermitian matrices with independent\, identica lly distributed entries.\nWe will then discuss an intriguing connection of such matrices with the theory of logarithmically correlated fields and wi th the fluctuations of their extremes.\n LOCATION:https://researchseminars.org/talk/PSMQFT/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Reiko Toriumi (Okinawa Institute of Science and Technology) DTSTART:20261005T120000Z DTEND:20261005T140000Z DTSTAMP:20261026T105441Z UID:PSMQFT/11 DESCRIPTION:Title: Invitation to Random Tensor Models: from random geometry to enumeration of tensor invariants\nby Reiko Toriumi (Okinawa Institute of Science and Technology) as part of Probability\, Statistical Mechanics and Quantum Fi elds\n\n\nAbstract\nI will introduce random tensor models by first reviewi ng their motivation coming from random geometric approach to quantum gravi ty. I will also give some survey on the current topics around random tenso rs. Then\, I will present recent results on enumeration of graphs represen ting tensor invariants based on arXiv:2404.16404[hep-th].\n LOCATION:https://researchseminars.org/talk/PSMQFT/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Alix Deleporte (Laboratoire de Mathématiques d'Orsay\, Universit é Paris-Saclay) DTSTART:20261008T120000Z DTEND:20261008T140000Z DTSTAMP:20261026T105441Z UID:PSMQFT/12 DESCRIPTION:Title: Dynamics and spectrum in the semiclassical limit for non-self-adjoint oper ators\nby Alix Deleporte (Laboratoire de Mathématiques d'Orsay\, Univ ersité Paris-Saclay) as part of Probability\, Statistical Mechanics and Q uantum Fields\n\n\nAbstract\nOne of the early achievements of microlocal a nd semiclassical analysis was the asymptotic description\, in a large freq uency / small parameter case\, of eigenvalues and (in the integrable case) eigenfunctions of self-adjoint operators. This is related to a refined de scription of the dynamics through the well-known Egorov theorem: quantum e volution is well-approximated by classical evolution.\nThe non-self-adjoin t case presents serious additional difficulties. Making sense of the appro priate "classical" objects\, and proving the correspondence\, necessitates a great deal of supplementary geometric and analytic work.\nIn this talk\ , I will present the challenges associated with non-self-adjoint semiclass ical analysis\, and describe recent results as well as perspectives.\n LOCATION:https://researchseminars.org/talk/PSMQFT/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Morris Brooks (University of Zürich) DTSTART:20261015T120000Z DTEND:20261015T140000Z DTSTAMP:20261026T105441Z UID:PSMQFT/13 DESCRIPTION:Title: A new approach to the hard-core Bose gas\nby Morris Brooks (University of Zürich) as part of Probability\, Statistical Mechanics and Quantum Fi elds\n\n\nAbstract\nIn this talk I will present a recent result on the gro und-state energy of a Bosonic quantum gas with hard-core interactions (bil liard balls)\, which proves the missing upper bound in the Lee-Huang-Yang formula. While this result settles a substantial open problem in the field \, I want to put an emphasize on the genuinely novel methods used within. In the proof\, we are naturally led to the study of a classical gas\, whos e probability distribution we characterize using the language of second qu antization. In particular\, I want to provide a perspective on the impact of our result beyond the boundaries of quantum mechanics.\n LOCATION:https://researchseminars.org/talk/PSMQFT/13/ END:VEVENT BEGIN:VEVENT SUMMARY:Charlie Dworaczek Guera (KTH Stockholm) DTSTART:20261022T120000Z DTEND:20261022T140000Z DTSTAMP:20261026T105441Z UID:PSMQFT/14 DESCRIPTION:Title: β-ensembles at intermediary temperature\nby Charlie Dworaczek Guera ( KTH Stockholm) as part of Probability\, Statistical Mechanics and Quantum Fields\n\n\nAbstract\nIn this talk\, I’ll present the real β-ensembles of dimension N in the regime 1/N<<β(N)<<1. In this regime\, the system is still described macroscopically by the usual semi-circle type equilibrium measure. However\, at mesoscopic scales\, a transition occurs: below a ce rtain scale the correlations are not strong enough anymore and the system enters a Poissonian regime. In this talk\, I will present a mesoscopic CLT for linear statistics illustrating this transition and the convergence of local statistics to those of a Poisson point process.\nThis is based on j oint works with my co-authors Gaultier Lambert\, Michel Pain and Luke Peil en and the recent preprint arxiv:2609.25301.\n LOCATION:https://researchseminars.org/talk/PSMQFT/14/ END:VEVENT BEGIN:VEVENT SUMMARY:Christoph Zechner (SISSA) DTSTART:20261112T130000Z DTEND:20261112T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/15 DESCRIPTION:Title: Quantifying information transfer in biochemical networks\nby Christoph Zechner (SISSA) as part of Probability\, Statistical Mechanics and Quantu m Fields\n\nLecture held in 134.\n\nAbstract\nLiving cells possess remarka ble information processing capabilities\, ranging from cell-fate determina tion to chemotaxis. These capabilities arise from biochemical reaction net works\, whose stochastic dynamics can be described mathematically using co unting processes. Quantifying information transfer in such systems\, howev er\, poses both computational and conceptual challenges. Exact information rates are difficult to obtain even for simple networks\, motivating Gauss ian small-noise approximations that are expected to become accurate at lar ge molecular copy numbers. Yet these approximations can yield qualitativel y incorrect information rates even in this regime. In this talk\, I will d iscuss how this discrepancy arises from the distinction between reaction- and concentration-based descriptions of biochemical trajectories. Conventi onal Gaussian descriptions combine the contributions of distinct reaction channels into effective concentration fluctuations\, thereby discarding in formation carried by individual reaction events. I will use Duncan’s the orem to derive reaction-based Gaussian information rates that agree with t hose of the discrete counting-process model in the large-volume limit. I w ill then connect this time-domain formulation to the Fourier-space approac h\, which allows these rates to be calculated conveniently from the spectr al densities of the input and output signals. Finally\, I will discuss the conceptual and biological implications of this distinction: under what co nditions can downstream biochemical networks access information carried by individual reaction events? I will show how active reaction cycles can ma ke this information accessible through molecular concentrations and connec t these results to the limits of cellular sensing.\n LOCATION:https://researchseminars.org/talk/PSMQFT/15/ END:VEVENT BEGIN:VEVENT SUMMARY:Jacob Shapiro (Princeton) DTSTART:20261116T130000Z DTEND:20261116T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/16 DESCRIPTION:by Jacob Shapiro (Princeton) as part of Probability\, Statisti cal Mechanics and Quantum Fields\n\nAbstract: TBA\n LOCATION:https://researchseminars.org/talk/PSMQFT/16/ END:VEVENT BEGIN:VEVENT SUMMARY:Elias Nohra (Sorbonne University) DTSTART:20261028T130000Z DTEND:20261028T150000Z DTSTAMP:20261026T105441Z UID:PSMQFT/17 DESCRIPTION:Title: The Yang–Mills measure in two dimensions.\nby Elias Nohra (Sorbonne University) as part of Probability\, Statistical Mechanics and Quantum Fie lds\n\nLecture held in 133.\n\nAbstract\nYang–Mills theory is a quantum field theory that describes interaction be-\ntween elementary particles us ing path integrals. In the case of a spacetime of dimension 3\nor higher\, the rigorous construction of these integrals remains a central open probl em in\nmathematics. However\, the case of dimension 2 has been studied suc cessfully by several\nauthors.\nIn this talk\, I will start with a brief i ntroduction to Yang–Mills theory\, explain the\nspecificity of the two d imensional case\, and present a recent contribution to the study\nof the t wo dimensional Yang–Mills measure on compact surfaces in collaboration w ith\nNguyen Viet Dang (IRMA\, Strasbourg).\n LOCATION:https://researchseminars.org/talk/PSMQFT/17/ END:VEVENT END:VCALENDAR