Sommaire du Fascicule no. 1

Borcherds products and arithmetic intersection theory on Hilbert modular surfaces

Bruinier, Jan H. ; Burgos Gil, José I. ; Kühn, Ulf

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p. 1-88

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A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method

Salmasian, Hadi

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p. 1-49

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${\mathcal C}^m$ -norms on finite sets and ${\mathcal C}^m$ extension criteria

Bierstone, Edward ; Milman, Pierre D.

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p. 1-18

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Uniform first-order definitions in finitely generated fields

Poonen, Bjorn

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p. 1-21

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Counting maximal arithmetic subgroups

Belolipetsky, Mikhail ; Ellenberg, Jordan ; Venkatesh, Akshay

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p. 1-33

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Invariant distributions on $p$ -adic analytic groups

Kohlhaase, Jan

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p. 19-62

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Moduli of twisted sheaves

Lieblich, Max

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p. 23-118

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The boundary of universal discrete quantum groups, exactness, and factoriality

Vaes, Stefaan ; Vergnioux, Roland

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p. 35-84

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Schrödinger operators with many bound states

Damanik, David ; Remling, Christian

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p. 51-80

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Iwasawa theory and the Eisenstein ideal

Sharifi, Romyar T.

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p. 63-101

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Virtual intersections on the $\mathrm{Quot}$ scheme and Vafa-Intriligator formulas

Marian, Alina ; Oprea, Dragos

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p. 81-113

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Exotic projective structures and quasi-Fuchsian space, II

Ito, Kentaro

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p. 85-109

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Orbifold cohomology of torus quotients

Goldin, Rebecca ; Holm, Tara S. ; Knutson, Allen

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p. 89-139

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Twists of $X(7)$ and primitive solutions to $x^2+y^3=z^7$

Poonen, Bjorn ; Schaefer, Edward F. ; Stoll, Michael

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p. 103-158

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Coisotropic intersections

Ginzburg, Viktor L.

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p. 111-163

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Low-lying zeros of $L$ -functions with orthogonal symmetry

Hughes, C. P. ; Miller, Steven J.

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p. 115-172

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On Shokurov's rational connectedness conjecture

Hacon, Christopher D. ; Mckernan, James

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p. 119-136

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Radon transform on real, complex, and quaternionic Grassmannians

Zhang, Genkai

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p. 137-160

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Explicit construction of a Ramanujan $(n_1,n_2,\ldots,n_{d-1})$ -regular hypergraph

Sarveniazi, Alireza

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p. 141-171

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Energy functionals and canonical Kähler metrics

Song, Jian ; Weinkove, Ben

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p. 159-184

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Hirota quadratic equations for the extended Toda hierarchy

Milanov, Todor E.

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p. 161-178

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Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

Tao, Terence ; Visan, Monica ; Zhang, Xiaoyi

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p. 165-202

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Higher Fano manifolds and rational surfaces

De Jong, A. J. ; Starr, Jason

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p. 173-183

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Ascending chain condition for log canonical thresholds and termination of log flips

Birkar, Caucher

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p. 173-180

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Branch points of Willmore surfaces

Kuwert, Ernst ; Schätzle, Reiner

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p. 179-201

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Covering spaces of $3$ -orbifolds

Lackenby, Marc

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p. 181-203

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The Calkin algebra has outer automorphisms

Phillips, N. Christopher ; Weaver, Nik

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p. 185-202

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Holomorphic curves in complex spaces

Drinovec Drnovšek, Barbara ; Forstnerič, Franc

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p. 203-253

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Joinings of higher-rank diagonalizable actions on locally homogeneous spaces

Einsiedler, Manfred ; Lindenstrauss, Elon

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p. 203-232

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The Schwarzian derivative and measured laminations on Riemann surfaces

Dumas, David

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p. 203-243

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Nonlinear gravitons, null geodesics, and holomorphic disks

Lebrun, Claude ; Mason, L. J.

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p. 205-273

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Relating invariant linear form and local epsilon factors via global methods

Prasad, Dipendra ; Saito, Hiroshi

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p. 233-261

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A second eigenvalue bound for the Dirichlet Laplacian in hyperbolic space

Benguria, Rafael D. ; Linde, Helmut

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p. 245-279

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Super-moonshine for Conway's largest sporadic group

Duncan, John F.

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p. 255-315

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On the minimum norm of representatives of residue classes in number fields

Bourgain, Jean ; Chang, Mei-Chu

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p. 263-280

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Companion forms over totally real fields, II

Gee, Toby

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p. 275-284

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Hyperbolic convex cores and simplicial volume

Storm, Peter A.

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p. 281-319

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The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

Visan, Monica

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p. 281-374

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Gradient estimates for a class of parabolic systems

Acerbi, Emilio ; Mingione, Giuseppe

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p. 285-320

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$\Pi$ -supports for modules for finite group schemes

Friedlander, Eric M. ; Pevtsova, Julia

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p. 317-368

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On equivariant quantum cohomology of homogeneous spaces: Chevalley formulae and algorithms

Mihalcea, Leonardo Constantin

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p. 321-350

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An unstable elliptic free boundary problem arising in solid combustion

Monneau, R. ; Weiss, G. S.

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p. 321-341

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The dynamical fine structure of iterated cosine maps and a dimension paradox

Schleicher, Dierk

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p. 343-356

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On degenerations of ${\mathcal D}$ -shtukas

Lau, Eike

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p. 351-389

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Homogeneous asymptotic limits of Haar measures of semisimple linear groups and their lattices

Maucourant, François

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p. 357-399

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Quasi-Hamiltonian geometry of meromorphic connections

Boalch, Philip

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p. 369-405

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Motivic cohomology of the complement of hyperplane arrangements

Chatzistamatiou, Andre

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p. 375-389

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Fractal upper bounds on the density of semiclassical resonances

Sjöstrand, Johannes ; Zworski, Maciej

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p. 381-459

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An algebraic integration for Mahler measure

Lalín, Matilde N.

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p. 391-422

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Periodic Schur process and cylindric partitions

Borodin, Alexei

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p. 391-468

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Symplectic aspects of Mather theory

Bernard, Patrick

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p. 401-420

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Correction to “Cluster algebras and Weil-Petersson forms”

Gekhtman, Michael ; Shapiro, Michael ; Vainshtein, Alek

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p. 407-409

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Resonance identity, stability, and multiplicity of closed characteristics on compact convex hypersurfaces

Wang, Wei ; Hu, Xijun ; Long, Yiming

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p. 411-462

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Local solutions to a class of Monge-Ampère equations of mixed type

Han, Qing

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p. 421-473

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Cusps and the family hyperbolic metric

Wolpert, Scott A.

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p. 423-443

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Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

Burq, N. ; Gérard, P. ; Tzvetkov, N.

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p. 445-486

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Harmonicity of Gibbs measures

Connell, Chris ; Muchnik, Roman

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p. 461-509

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On Teichmüller spaces of surfaces with boundary

Luo, Feng

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p. 463-482

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An optimal Wegner estimate and its application to the global continuity of the integrated density of states for random Schrödinger operators

Combes, Jean-Michel ; Hislop, Peter D. ; Klopp, Frédéric

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p. 469-498

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On simultaneous linearization of diffeomorphisms of the sphere

Dolgopyat, Dmitry ; Krikorian, Raphaël

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p. 475-505

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Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary

Gorodnik, Alexander ; Oh, Hee

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p. 483-525

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Construction of solutions to the $L^2$ -critical KdV equation with a given asymptotic behaviour

Côte, Raphaël

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p. 487-531

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Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe linéaire et filtrations de ramification

Fargues, Laurent

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p. 499-590

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A hybrid Euler-Hadamard product for the Riemann zeta function

Gonek, S. M. ; Hughes, C. P. ; Keating, J. P.

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p. 507-549

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Connected Lie groups and property RD

Chatterji, I. ; Pittet, C. ; Saloff-Coste, L.

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p. 511-536

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Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps)

Dvornicich, R. ; Zannier, U.

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p. 527-554

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Values of decomposable forms at $S$ -integral points and orbits of tori on homogeneous spaces

Tomanov, George

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p. 533-562

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Regular algebras of dimension 4 and their $A_\infty$ -Ext-algebras

Lu, D.-M. ; Palmieri, J. H. ; Wu, Q.-S. ; Zhang, J. J.

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p. 537-584

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Khovanov-Rozansky homology of two-bridge knots and links

Rasmussen, Jacob

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p. 551-583

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Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

Poláčik, Peter ; Quittner, Pavol ; Souplet, Philippe

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p. 555-579

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Correlations of the characteristic polynomials in the Gaussian unitary ensemble or a singular Hankel determinant

Krasovsky, I. V.

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p. 581-619

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Hecke correspondence, stable maps, and the Kirwan desingularization

Kiem, Young-Hoon

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p. 585-618

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Symmetry of steady periodic gravity water waves with vorticity

Constantin, Adrian ; Ehrnström, Mats ; Wahlén, Erik

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p. 591-603

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