International Congress of Mathematicians
2022 July 6–14
Editors
Dmitry Beliaev
University of Oxford, United KingdomStanislav Smirnov
Université de Genève, Switzerland
This book is published open access.
Following the long and illustrious tradition of the International Congress of Mathematicians, these proceedings include contributions based on the invited talks that were presented at the Congress in 2022.
Published with the support of the International Mathematical Union and edited by Dmitry Beliaev and Stanislav Smirnov, these seven volumes present the most important developments in all fields of mathematics and its applications in the past four years. In particular, they include laudations and presentations of the 2022 Fields Medal winners and of the other prestigious prizes awarded at the Congress.
The proceedings of the International Congress of Mathematicians provide an authoritative documentation of contemporary research in all branches of mathematics, and are an indispensable part of every mathematical library.
The contents of the ICM 2022 Proceedings are available online with open access.
pp. i–iv Front matterpp. v–xvi Contentspp. 3374–3387 On a curious problem and what it lead toMiklós Abért
pp. 3388–3411 Lattice subgroups acting on manifoldsAaron Brown
pp. 3412–3430 The horocycle flow on the moduli space of translation surfacesJon ChaikaBarak Weiss
pp. 3432–3459 Topological entropy and pressure for finite-horizon Sinai billiardsMark F. Demers
pp. 3460–3482 Geometric methods in holomorphic dynamicsRomain Dujardin
pp. 3484–3507 Rigidity, lattices, and invariant measures beyond homogeneous dynamicsDavid Fisher
pp. 3508–3528 Furstenberg disjointness, Ratner properties, and Sarnak’s conjectureMariusz Lemańczyk
pp. 3530–3551 Finitary analysis in homogeneous spacesAmir Mohammadi
pp. 3552–3574 Stability and recursive solutions in Hamiltonian PDEsMichela Procesi
pp. 3576–3609 Dynamics and “arithmetics” of higher genus surface flowsCorinna Ulcigrai
pp. 3610–3634 Self-similar sets and measures on the linePéter P. Varjú
pp. 3636–3659 Formation and development of singularities for the compressible Euler equationsTristan BuckmasterTheodore D. DrivasSteve ShkollerVlad Vicol
pp. 3660–3703 Selected topics in mean field gamesPierre CardaliaguetFrançois Delarue
pp. 3704–3723 Macroscopic limits of chaotic eigenfunctionsSemyon Dyatlov
pp. 3724–3755 Variational homogenization: old and newRita FerreiraIrene FonsecaRaghavendra Venkatraman
pp. 3756–3774 Lieb–Thirring inequalities and other functional inequalities for orthonormal systemsRupert L. Frank
pp. 3776–3799 On the nonlinear stability of shear flows and vorticesAlexandru D. IonescuHao Jia
pp. 3800–3821 Mean-field limits for quantum systems and nonlinear Gibbs measuresMathieu Lewin
pp. 3822–3840 Global dynamics around and away from solitonsKenji Nakanishi
pp. 3842–3853 Variety of fractional LaplaciansAlexander I. Nazarov
pp. 3854–3879 Formation of singularities in nonlinear dispersive PDEsGalina Perelman
pp. 3880–3901 On the asymptotics for minimizers of Donaldson functional in Teichmüller theoryGabriella Tarantello
pp. 3902–3922 Hydrodynamic stability at high Reynolds numberDongyi WeiZhifei Zhang
pp. 3924–3984 Recent progress in general relativityPeter HintzGustav Holzegel
pp. 3986–4008 Spin systems with hyperbolic symmetry: a surveyRoland BauerschmidtTyler Helmuth
pp. 4010–4025 The Kac model: variations on a themeFederico BonettoEric CarlenMichael Loss
pp. 4026–4038 On the energy of dilute Bose gasesSøren FournaisJan Philip Solovej
pp. 4040–4072 Scaling limits and universality of Ising and dimer modelsAlessandro Giuliani
pp. 4074–4095 Gapped quantum systems: from higher-dimensional Lieb–Schultz–Mattis to the quantum Hall effectMatthew B. Hastings
pp. 4096–4118 Bootstrap approach to 1+1-dimensional integrable quantum field theories: the case of the Sinh-Gordon modelKarol Kajetan Kozlowski
pp. 4120–4141 Singularities in general relativityJonathan Luk
pp. 4142–4161 Classification of gapped ground state phases in quantum spin systemsYoshiko Ogata
pp. 4163–4167 List of contributors