BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Joscha Henheik (IST Austria) DTSTART:20250312T150000Z DTEND:20250312T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/1 DESCRIPTION:Title: Prethermalization for deformed Wigner matrices\nby Joscha Henheik (IST Austria) as part of SISSA Mathematical Physics seminar\n\n\nA bstract\nWe prove that a class of weakly perturbed Hamiltonians of the for m $H_\\lambda = H_0 + \\lambda W$\, with $W$ being a Wigner matrix\, exhib its prethermalization. That is\, the time evolution generated by $H_\\lamb da$ relaxes to its ultimate thermal state via an intermediate prethermal s tate with a lifetime of order $\\lambda^{-2}$. Moreover\, we obtain a gene ral relaxation formula\, expressing the perturbed dynamics via the unpertu rbed dynamics and the ultimate thermal state. The proof relies on a two-re solvent law for the deformed Wigner matrix $H_\\lambda$. \nBased on a join t work with L. Erdös\, J. Reker\, and V. Riabov.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Giancarlo Benettin (University of Padova) DTSTART:20250205T150000Z DTEND:20250205T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/2 DESCRIPTION:Title: Thermalization vs. integrability in the Fermi-Pasta-Ulam(-Tsin gou) problem\nby Giancarlo Benettin (University of Padova) as part of SISSA Mathematical Physics seminar\n\n\nAbstract\nThe talk is devoted to t he celebrated FPU problem\, namely the interplay between dynamics and stat istics in a chain of weakly interacting oscillators. The perspective we sh all follow\, after a wide introduction to the problem\, is that FPU should be regarded as a perturbation of the (completely integrable) Toda model. Normal statistic behavior\, including thermalization\, requires rather lon g times\, scaling as inverse powers of the specific energy E/N. On substan tially shorter times\, FPU is practically indistinguishable from Toda: nev ertheless\, its statistical behavior is not clear\, since Toda itself\, al though integrable\, in the thermodynamic limit is not well understood. A c rucial question for statistical mechanics turns out to be the relation bet ween Toda actions and standard normal modes\, which looks quite puzzling f or large N.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Bruno Renzi (SISSA) DTSTART:20250305T150000Z DTEND:20250305T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/3 DESCRIPTION:Title: Universality in interacting dimers at the rough-frozen transit ion\nby Bruno Renzi (SISSA) as part of SISSA Mathematical Physics semi nar\n\n\nAbstract\nA central issue in equilibrium statistical mechanics is the universality of critical phenomena. In this talk\, we explore the two -dimensional dimer model\, a simple yet rich model for discrete random sur faces. Originally solved in the 1960s by Kasteleyn\, Temperley\, and Fishe r for planar graphs\, its phase diagram was later fully characterized for doubly periodic graphs by Kenyon\, Okounkov\, and Sheffield (2006). They r evealed a deep geometric structure and\, in the so-called rough phase\, a universal Gaussian limit for surface fluctuations. Here\, we investigate u niversality specifically at the liquid-to-frozen transition\, where integr ability-breaking perturbations are introduced. We show that for small pert urbation strength λ\, the frozen boundary is shifted by O(λ) and at dist ance ϵ inside the liquid phase\, the Ronkin function R satisfies a so cal led Pokrovsky-Talapov scaling law universally in the interaction. This heu ristically suggests a connection with the KPZ universality class\, offerin g insights into the fluctuations of the level lines of the associated heig ht function. Based on a joint work with A. Giuliani\, V. Mastropietro\, F. L. Toninelli.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Alexander Moll (Reed College) DTSTART:20250319T150000Z DTEND:20250319T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/4 DESCRIPTION:Title: On Dubrovin’s Characterization of Schur Polynomials\nby Alexander Moll (Reed College) as part of SISSA Mathematical Physics semina r\n\n\nAbstract\nSchur polynomials have been studied for over two centurie s since the works of Cauchy (1815)\, Jacobi (1841)\, and Schur (1901). In his work on symplectic field theory\, Dubrovin (2016) gave a remarkable n ew characterization of these multivariate polynomials from first principle s of geometric quantization of classical Hamiltonian PDEs: they are the si multaneous eigenfunctions of Eliashberg’s explicit operator quantization of the classical hierarchy of Hopf Hamiltonians on the circle with respec t to the Gardner-Faddeev-Zakharov Poisson bracket. In this talk\, I will present work in progress with Robert Chang (Rhodes College) in which we co mbine Dubrovin’s spectral theorem with general analytic results in the s emiclassical approximation of quantum Gaussian wavepacket dynamics to deri ve old and new limit theorems for Okounkov’s Schur measures on partition s.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Guido Carlet (Institut de Mathématiques de Bourgogne) DTSTART:20250326T150000Z DTEND:20250326T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/5 DESCRIPTION:Title: Structure\, cohomology and deformations of local homogeneous P oisson brackets of arbitrary degree\nby Guido Carlet (Institut de Math ématiques de Bourgogne) as part of SISSA Mathematical Physics seminar\n\n \nAbstract\nDubrovin and Novikov initiated the study of local homogeneous differential-geometric Poisson brackets of arbitrary degree k in their sem inal 1984 paper. Despite many efforts\, and several results in low degree\ , very little is known about their structure for arbitrary k. After an int roduction to the topic\, we first report on our recent results on the stru cture of DN brackets of degree k. By applying homological algebra methods to the computation of their Poisson cohomology (or rather of an associated differential complex) we show that certain linear combinations of the coe fficients of a degree k DN bracket define k flat connections. Moreover the Poisson cohomology of such brackets is related with the Chevalley-Eilenbe rg cohomology of an associate finite-dimensional Lie algebra. In collabora tion with M. Casati.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Matteo Gallone (SISSA) DTSTART:20250226T150000Z DTEND:20250226T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/6 DESCRIPTION:Title: Prethermalization and conservation laws in quasi-periodically driven lattice quantum systems\nby Matteo Gallone (SISSA) as part of S ISSA Mathematical Physics seminar\n\n\nAbstract\nUnderstanding the route t o thermalization of a physical system is a fundamental problem in statisti cal mechanics. When a system is initialized far from thermodynamical equil ibrium\, many interesting phenomena may arise. Among them\, a lot of inter est is attained by systems subjected to periodic driving (Floquet systems) \, which under certain circumstances can undergo a two-stage long dynamics referred to as “prethermalization”\, showing nontrivial physical feat ures. I will present some prethermalization results for a class of lattice systems with quasi-periodic external driving in time. When the quasi-peri odic driving frequency is large enough or the strength of the driving is s mall enough\, we show that the system exhibits a prethermal state for expo nentially long times in the perturbative parameter. Focusing on the case w hen the unperturbed Hamiltonian admits constants of motion\, under suitabl e non-resonance condition we prove the quasi-conservation of a dressed ver sion of them.\n\nJoint work with B. Langella (SISSA).\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Amol Aggarwal (Columbia University) DTSTART:20250401T140000Z DTEND:20250401T160000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/7 DESCRIPTION:Title: The Toda Lattice as a Soliton Gas\nby Amol Aggarwal (Colum bia University) as part of SISSA Mathematical Physics seminar\n\n\nAbstrac t\nA basic tenet of integrable systems is that\, under sufficiently irregu lar initial data\, they can be thought of as dense collections of many sol itons\, or “soliton gases.” In this talk we explain how the Toda latti ce\, under certain random initial data\, can be interpreted through solito ns\, and provide a framework for studying how these solitons asymptoticall y evolve in time. The arguments use ideas from random matrix theory\, part icularly the analysis of Lyapunov exponents governing the decay rates of e igenvectors of random tridiagonal matrices.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Mateusz Piorkowski (KTH Stockholm) DTSTART:20251117T150000Z DTEND:20251117T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/8 DESCRIPTION:Title: Steepest descent analysis on Riemann surfaces and generalized discriminants\nby Mateusz Piorkowski (KTH Stockholm) as part of SISSA Mathematical Physics seminar\n\n\nAbstract\nDouble contour integral formul as appear surprisingly often in expressions for correlations in various mo dels--- allowing for a swift asymptotic analysis via steepest descent anal ysis. Recent results on random tiling models demonstrate that such double contour formulas can also include integration on compact Riemann surfaces. Motivation by these developments\, I will in this talk generalize the not ion of a discriminant of a polynomial (corresponding to the Riemann sphere )\, to a discriminant of meromorphic sections on a general compact Riemann surfaces. As a corollary we obtain degree formulas for arctic curves that depend only on the topology of the frozen\, rough and smooth regions of t he Aztec diamond\, extending thereby the famous arctic circle theorem of J ockusch\, Propp and Shor. This talk is based on the preprint arXiv:2410.17 138\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Stefano Marcantoni (GSSI L'Aquila) DTSTART:20251201T150000Z DTEND:20251201T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/9 DESCRIPTION:Title: Dynamics of open quantum systems under strong coupling\nby Stefano Marcantoni (GSSI L'Aquila) as part of SISSA Mathematical Physics seminar\n\n\nAbstract\nWe consider the prototypical example of an open qua ntum system\, that is a finite-level quantum system linearly coupled to a bosonic reservoir\, and we study the dynamics of the finite system when th e coupling constant tends to infinity. In particular\, under mild assumpti ons on the interaction\, we prove that the dynamics corresponds to a nonse lective projective measurement followed by a unitary evolution generated b y an effective (Zeno) Hamiltonian. The proof can be generalized to the cas e of a small system interacting with two reservoirs\, when one of the coup lings is finite and the other one tends to infinity. In this second scenar io the reduced dynamics is richer and possibly non-Markovian. \nJoint work with Marco Merkli\, Quantum 9\, 1656 (2025).\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Matteo Mucciconi (National University of Singapore) DTSTART:20251218T100000Z DTEND:20251218T110000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/10 DESCRIPTION:Title: The Skew Column RSK dynamics and the Box and Ball System\ nby Matteo Mucciconi (National University of Singapore) as part of SISSA M athematical Physics seminar\n\n\nAbstract\nWe introduce a two-dimensional discrete integrable system\, the \\emph{Skew Column RSK Dynamics}\, which is a two dimensional extension of the classical Box and Ball System (BBS) of Takahashi and Satsuma. The evolution acts deterministically on particle configurations over a periodic planar lattice\, with local moves governed by the Fomin growth rules associated with the Robinson–Schensted–Knut h algorithm under column insertion. We construct a linearization algorithm that generalizes the Kerov–Kirillov–Reshetikhin (KKR) bijection\, map ping the nonlinear particle dynamics to a linear evolution. Such lineariza tion is stated as a bijection between pairs of semi-standard Young tableau x of skew-shape $(P\,Q)$ and quadruples $(H_1\,H_2\;\\kappa\,\\nu)$\, wher e $H_1\,H_2$ are horizontally weak tableaux encoding conservation laws of the dynamics\, $\\kappa$ is a list of non-negative integers and $\\nu$ is a partition. As a by-product\, we obtain bijective proofs of summation ide ntities for modified Hall–Littlewood polynomials.\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Sara Perletti (SISSA) DTSTART:20260126T150000Z DTEND:20260126T170000Z DTSTAMP:20260404T095328Z UID:SISSAmath-ph/11 DESCRIPTION:by Sara Perletti (SISSA) as part of SISSA Mathematical Physics seminar\n\nLecture held in Room 134.\nAbstract: TBA\n LOCATION:https://stable.researchseminars.org/talk/SISSAmath-ph/11/ END:VEVENT END:VCALENDAR