Sommaire du Fascicule no. 1

Boundary properties of Green functions in the plane

Baranov, Anton ; Hedenmalm, Håkan

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p. 1-24

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A gerbe for the elliptic gamma function

Felder, Giovanni ; Henriques, André ; Rossi, Carlo A. ; Zhu, Chenchang

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p. 1-74

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Subpotential lower bounds for nonnegative solutions to certain quasi-linear degenerate parabolic equations

Dibenedetto, Emmanuele ; Gianazza, Ugo ; Vespri, Vincenzo

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p. 1-15

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Nonclassical multidimensional viscous and inviscid shocks

Guès, Olivier ; Métivier, Guy ; Williams, Mark ; Zumbrun, Kevin

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p. 1-110

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Riemann-Hilbert problem associated to Frobenius manifold structures on Hurwitz spaces: Irregular singularity

Shramchenko, Vasilisa

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p. 1-52

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Theta functions and Weil representations of loop symplectic groups

Zhu, Yongchang

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p. 17-39

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Geodesics and commensurability classes of arithmetic hyperbolic $3$ -manifolds

Chinburg, T. ; Hamilton, E. ; Long, D. D. ; Reid, A. W.

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p. 25-44

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Symmetric functions, parabolic category $\mathcal O$ , and the Springer fiber

Brundan, Jonathan

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p. 41-79

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The characteristic polynomial of a random unitary matrix: A probabilistic approach

Bourgade, P. ; Hughes, C. P. ; Nikeghbali, A. ; Yor, M.

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p. 45-69

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Cohomological goodness and the profinite completion of Bianchi groups

Grunewald, F. ; Jaikin-Zapirain, A. ; Zalesskii, P. A.

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p. 53-72

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Nonsmooth classical points on eigenvarieties

Bellaïche, Joël

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p. 71-90

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Surfaces with boundary: Their uniformizations, determinants of Laplacians, and isospectrality

Kim, Young-Heon

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p. 73-107

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Rosenthal's theorem for subspaces of noncommutative $L_p$

Junge, Marius ; Parcet, Javier

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p. 75-122

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On the small ball inequality in three dimensions

Bilyk, Dmitriy ; Lacey, Michael T.

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p. 81-115

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Tug-of-war with noise: A game-theoretic view of the $p$ -Laplacian

Peres, Yuval ; Sheffield, Scott

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p. 91-120

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Propagation of singularities for the wave equation on edge manifolds

Melrose, Richard ; Vasy, András ; Wunsch, Jared

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p. 109-193

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A geometric characterization of arithmetic Fuchsian groups

Geninska, Slavyana ; Leuzinger, Enrico

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p. 111-125

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Geometric realizations of Wakimoto modules at the critical level

Frenkel, Edward ; Gaitsgory, Dennis

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p. 117-203

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Higher $K$ -theory via universal invariants

Tabuada, Gonçalo

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p. 121-206

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Hyperbolic polynomials and multiparameter real-analytic perturbation theory

Kurdyka, Krzysztof ; Paunescu, Laurentiu

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p. 123-149

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A generalization of Voronoi's reduction theory and its application

Sikirić, Mathieu Dutour ; Schürmann, Achill ; Vallentin, Frank

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p. 127-164

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Semistable conjecture via $K$ -theory

Nizioł, Wiesława

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p. 151-178

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Signatures of Invariant Hermitian Forms on Irreducible Highest-Weight Modules

Yee, Wai Ling

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p. 165-196

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Big symplectic or orthogonal monodromy modulo $\ell$

Hall, Chris

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p. 179-203

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On the explicit construction of higher deformations of partition statistics

Bringmann, Kathrin

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p. 195-233

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Logarithmic potentials, quasiconformal flows, and $Q$ -curvature

Bonk, Mario ; Heinonen, Juha ; Saksman, Eero

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p. 197-239

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Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products

Borcea, Julius ; Brändén, Petter

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p. 205-223

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Igusa and Denef-Sperber conjectures on nondegenerate $p$ -adic exponential sums

Cluckers, Raf

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p. 205-216

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Quasi-isometric classification of graph manifold groups

Behrstock, Jason A. ; Neumann, Walter D.

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p. 217-240

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Shintani zeta functions and Gross-Stark units for totally real fields

Dasgupta, Samit

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p. 225-279

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Commuting Hamiltonians and Hamilton-Jacobi multi-time equations

Cardin, Franco ; Viterbo, Claude

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p. 235-284

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Stability conditions on $K3$ surfaces

Bridgeland, Tom

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p. 241-291

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Recurrence properties of planar Lorentz process

Dolgopyat, Dmitry ; Szász, Domokos ; Varjú, Tamás

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p. 241-281

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Breaking the duality in the return times theorem

Demeter, Ciprian ; Lacey, Michael T. ; Tao, Terence ; Thiele, Christoph

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p. 281-355

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No mass drop for mean curvature flow of mean convex hypersurfaces

Metzger, Jan ; Schulze, Felix

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p. 283-312

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Deviation of ergodic averages for rational polygonal billiards

Athreya, J. S. ; Forni, G.

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p. 285-319

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Slow quasiregular mappings and universal coverings

Pankka, Pekka

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p. 293-320

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Real Bargmann spaces, Fischer decompositions, and sets of uniqueness for polyharmonic functions

Render, Hermann

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p. 313-352

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The elementary obstruction and homogeneous spaces

Borovoi, M. ; Colliot-Thélène, J.-L. ; Skorobogatov, A. N.

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p. 321-364

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The spectral decomposition of shifted convolution sums

Blomer, Valentin ; Harcos, Gergely

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p. 321-339

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A twisted invariant Paley-Wiener theorem for real reductive groups

Delorme, Patrick ; Mezo, Paul

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p. 341-380

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Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms

Rivin, Igor

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p. 353-379

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Hall algebras associated to triangulated categories

Xiao, Jie ; Xu, Fan

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p. 357-373

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Framed knot contact homology

Ng, Lenhard

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p. 365-406

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Birational geometry and deformations of nilpotent orbits

Namikawa, Yoshinori

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p. 375-405

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Solvable points on genus one curves

Çiperiani, Mirela ; Wiles, Andrew

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p. 381-464

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Convex foliated projective structures and the Hitchin component for ${\rm PSL}_4(\mathbf{R})$

Guichard, Olivier ; Wienhard, Anna

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p. 381-445

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A sum formula for a pair of closed geodesics on a hyperbolic surface

Pitt, Nigel J. E.

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p. 407-435

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A Nullstellensatz for amoebas

Purbhoo, Kevin

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p. 407-445

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On a question of Davenport and Lewis and new character sum bounds in finite fields

Chang, Mei-Chu

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p. 409-442

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Growth of Selmer rank in nonabelian extensions of number fields

Mazur, Barry ; Rubin, Karl

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p. 437-461

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Sur l'homologie des fibres de Springer affines tronquées

Chaudouard, Pierre-Henri ; Laumon, Gérard

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p. 443-535

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Linear manifolds in the moduli space of one-forms

Möller, Martin

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p. 447-487

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Endoscopic lifting in classical groups and poles of tensor $L$ -functions

Ginzburg, David

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p. 447-503

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Spectral asymptotics via the semiclassical Birkhoff normal form

Charles, Laurent ; Vũ Ngọc, San

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p. 463-511

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Irregularity of hypergeometric systems via slopes along coordinate subspaces

Schulze, Mathias ; Walther, Uli

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p. 465-509

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Algebraic cycles and completions of equivariant $K$ -theory

Edidin, Dan ; Graham, William

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p. 489-524

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A characterization of subspaces and quotients of reflexive banach spaces with unconditional bases

Johnson, W. B. ; Zheng, Bentuo

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p. 505-518

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Knot homology via derived categories of coherent sheaves, I: The $\mathfrak{sl}(2)$ -case

Cautis, Sabin ; Kamnitzer, Joel

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p. 511-588

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Vector bundles on contractible smooth schemes

Asok, Aravind ; Doran, Brent

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p. 513-530

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Degree growth of meromorphic surface maps

Boucksom, Sébastien ; Favre, Charles ; Jonsson, Mattias

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p. 519-538

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Microlocalization of rational Cherednik algebras

Kashiwara, Masaki ; Rouquier, Raphaël

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p. 525-573

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Local-global principles for $1$ -motives

Harari, David ; Szamuely, Tamás

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p. 531-557

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Asymptotic stability of harmonic maps under the Schrödinger flow

Gustafson, Stephen ; Kang, Kyungkeun ; Tsai, Tai-Peng

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p. 537-583

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Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings

Astala, K. ; Clop, A. ; Mateu, J. ; Orobitg, J. ; Uriarte-Tuero, I.

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p. 539-571

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Un renforcement de la propriété (T)

Lafforgue, Vincent

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p. 559-602

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Some asymptotics of Topological quantum field theory via skein theory

Marché, Julien ; Narimannejad, Majid

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p. 573-587

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A general convergence result for the Ricci flow in higher dimensions

Brendle, Simon

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p. 585-601

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