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. 4170–4188 Combinatorial statistics and the sciencesElchanan Mossel
pp. 4190–4211 KPZ limit theoremsJinho Baik
pp. 4212–4244 Introduction to the Liouville quantum gravity metricJian DingJulien DubédatEwain Gwynne
pp. 4246–4270 Analysis of high-dimensional distributions using pathwise methodsRonen Eldan
pp. 4272–4300 Natural selection in spatially structured populationsAlison Etheridge
pp. 4302–4325 Hydrodynamic limit and stochastic PDEs related to interface motionTadahisa Funaki
pp. 4326–4348 On the universality from interacting particle systemsPatrícia Gonçalves
pp. 4350–4374 Mixing time and cutoff for one-dimensional particle systemsHubert Lacoin
pp. 4376–4392 Ultrametricity in spin glassesDmitry Panchenko
pp. 4394–4425 Interacting stochastic processes on sparse random graphsKavita Ramanan
pp. 4426–4450 Integrable fluctuations in the KPZ universality classDaniel Remenik
pp. 4452–4473 Heat kernel estimates on Harnack manifolds and beyondLaurent Saloff-Coste
pp. 4476–4508 Probability theory for random groups arising in number theoryMelanie Matchett Wood
pp. 4510–4541 The geometry of geometries: matroid theory, old and newFederico Ardila-Mantilla
pp. 4542–4566 Graph and hypergraph packingJulia Böttcher
pp. 4568–4581 KKL’s influence on meEhud Friedgut
pp. 4582–4605 Schubert calculus and quiver varietiesAllen Knutson
pp. 4606–4620 Recent progress towards Hadwiger’s conjectureSergey Norin
pp. 4622–4644 Face numbers: the upper bound side of the storyIsabella Novik
pp. 4646–4658 Restricted problems in extremal combinatoricsMathias Schacht
pp. 4660–4680 Graphs of large chromatic numberAlex Scott
pp. 4682–4708 Local-vs-global combinatoricsAsaf Shapira
pp. 4710–4737 The positive Grassmannian, the amplituhedron, and cluster algebrasLauren K. Williams
pp. 4740–4761 Differential privacy: getting more for lessCynthia Dwork
pp. 4762–4798 Indistinguishability obfuscationAayush JainHuijia LinAmit Sahai
pp. 4800–4819 Simulation-based searchDavid SilverAndre Barreto
pp. 4820–4840 Beyond linear algebraBernd Sturmfels
pp. 4842–4871 Nowhere to go but high: a perspective on high-dimensional expandersRoy GotlibTali Kaufman
pp. 4872–4896 Forty years of frequent itemsJelani Nelson
pp. 4898–4912 Some questions related to the reverse Minkowski theoremOded Regev
pp. 4914–4969 Mathematics of computation through the lens of linear equations and latticesMuli (Shmuel) Safra
pp. 4970–4994 Polyhedral techniques in combinatorial optimization: matchings and toursOla Svensson
pp. 4996–5025 MIP* = RE: A negative resolution to Connes’ embedding problem and Tsirelson’s problemThomas Vidick
pp. 5027–5031 List of contributors