European Congress of Mathematics

Ademir Hujdurović; Klavdija Kutnar; Dragan Marušič; Štefko Miklavič; Tomaž Pisanski; Primož Šparl

doi:10.4171/8ecm

pp. i–iv
Front matter
pp. v–viii
Preface
Tomaž PisanskiDragan MarušičKlavdija KutnarAdemir Hujdurović
pp. ix–xii
Contents
pp. xiii–xiv
8ECM Committees
p. xv
List of sponsors
pp. 1–8
Regularity of stable solutions to reaction-diffusion elliptic equations
Xavier Cabré
pp. 9–43
Minimal surfaces in Euclidean spaces by way of complex analysis
Franc Forstnerič
pp. 45–71
Bernoulli random matrices
Alice Guionnet
pp. 73–91
An introduction to the mathematics of deep learning
Gitta Kutyniok
pp. 93–123
Geometric valuation theory
Monika Ludwig
pp. 125–159
Metric measure spaces and synthetic Ricci bounds: Fundamental concepts and recent developments
Karl-Theodor Sturm
pp. 161–180
Torsion in algebraic groups and problems which arise
Umberto Zannier
pp. 181–198
Positive harmonic functions on the Heisenberg group I
Yves Benoist
pp. 199–251
Kähler–Einstein metrics and Archimedean zeta functions
Robert J. Berman
pp. 253–275
Variational regularization in inverse problems and machine learning
Martin Burger
pp. 277–294
Some minimization problems for mean field models with competing forces
Rupert L. Frank
pp. 295–323
Laplacians on infinite graphs: Discrete vs. continuous
Aleksey KostenkoNoema Nicolussi
pp. 325–336
Uniqueness results for solutions of continuous and discrete PDE
Eugenia Malinnikova
pp. 337–365
Some recent developments on the geometry of random spherical eigenfunctions
Domenico Marinucci
pp. 367–393
Looking at Euler flows through a contact mirror: Universality and undecidability
Robert CardonaEva MirandaDaniel Peralta-Salas
pp. 395–412
Lefschetz fibrations, open books, and symplectic fillings of contact 3-manifolds
Burak Ozbagci
pp. 413–437
Finite groups of birational transformations
Yuri Prokhorov
pp. 439–464
Propositional proof complexity
Alexander A. Razborov
pp. 465–487
Covering and growth for group subsets and representations
Aner Shalev
pp. 489–510
HMS symmetries and hypergeometric systems
Špela Špenko
pp. 511–534
AAA-least squares rational approximation and solution of Laplace problems
Stefano CostaLloyd N. Trefethen
pp. 535–551
Smooth compactifications in derived non-commutative geometry
Alexander I. Efimov
pp. 553–568
Global properties of some weight 3 variations of Hodge structure
Simion Filip
pp. 569–583
On primes, almost primes, and the Möbius function in short intervals
Kaisa Matomäki
pp. 585–605
Bogoliubov excitation spectrum of Bose gases
Phan Thành Nam
pp. 607–641
From branching singularities in minimal surfaces to non-smoothness points in ice-water interfaces
Joaquim Serra
pp. 643–662
Elliptic curves and modularity
Jack A. Thorne
pp. 663–676
From art and circuit design to geometry and combinatorics
Bojan Mohar
pp. 677–691
European mathematics: A history in stamps
Robin Wilson
pp. 693–718
Detecting arrays for effects of single factors
Charles J. ColbournViolet R. Syrotiuk
pp. 719–731
Digital collections of examples in mathematical sciences
James H. Davenport
pp. 733–748
Closed $G_2$ -structures on compact quotients of Lie groups
Anna FinoAlberto Raffero
pp. 749–769
Computational/algorithmic thinking in school mathematics
Djordje M. Kadijevich
pp. 771–823
Graph and hypergraph colouring via nibble methods: A survey
Dong Yeap KangTom KellyDaniela KühnAbhishek MethukuDeryk Osthus
pp. 825–856
From matrix pivots to graphs in surfaces: exploring combinatorics through partial duals
Iain Moffatt
pp. 857–883
Convex bodies all whose sections (projections) are equal
Luis Montejano
pp. 885–906
On a class of nonlocal problems with fractional gradient constraint
Assis AzevedoJosé-Francisco RodriguesLisa Santos
pp. 907–925
The topology of dissipative systems
Héctor BargeJosé M. R. Sanjurjo
pp. 927–946
Onset of fracture in random heterogeneous particle chains
Laura LauerbachStefan NeukammMathias SchäffnerAnja Schlömerkemper
pp. 947–967
Siu’s lemma: Generalizations and applications
Xiangyu ZhouLangfeng Zhu