Sommaire du Fascicule no. 1

On the finite cyclicity of open period annuli

Gavrilov, Lubomir ; Novikov, Dmitry

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p. 1-26

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Crofton measures and Minkowski valuations

Schuster, Franz E.

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p. 1-30

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The structure of surfaces and threefolds mapping to the moduli stack of canonically polarized varieties

Kebekus, Stefan ; Kovács, Sándor J.

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p. 1-33

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Einstein manifolds with nonnegative isotropic curvature are locally symmetric

Brendle, Simon

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p. 1-21

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Lagrangian Floer theory on compact toric manifolds, I

Fukaya, Kenji ; Oh, Yong-Geun ; Ohta, Hiroshi ; Ono, Kaoru

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p. 23-175

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Rank functions on rooted tree quivers

Kinser, Ryan

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p. 27-92

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Koszul duality and modular representations of semisimple Lie algebras

Riche, Simon

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p. 31-134

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The theorem of the complement for nested sub-Pfaffian sets

Lion, Jean-Marie ; Speissegger, Patrick

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p. 35-90

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The intrinsic asymmetry and inhomogeneity of Teichmüller space

Farb, Benson ; Weinberger, Shmuel

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p. 91-103

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Shokurov's ACC conjecture for log canonical thresholds on smooth varieties

De Fernex, Tommaso ; Ein, Lawrence ; Mustaţă, Mircea

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p. 93-114

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On Serre's conjecture for mod $\ell$ Galois representations over totally real fields

Buzzard, Kevin ; Diamond, Fred ; Jarvis, Frazer

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p. 105-161

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Generating functions for colored 3D Young diagrams and the Donaldson-Thomas invariants of orbifolds

Young, Benjamin ; Bryan, Jim

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p. 115-153

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Coherent sheaves and categorical $\mathfrak{sl}_2$ actions

Cautis, Sabin ; Kamnitzer, Joel ; Licata, Anthony

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p. 135-179

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Generically split projective homogeneous varieties

Petrov, Viktor ; Semenov, Nikita

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p. 155-173

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The sharp Hardy uncertainty principle for Schrödinger evolutions

Escauriaza, Luis ; Kenig, Carlos E. ; Ponce, Gustavo ; Vega, Luis

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p. 163-187

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Pursuing the double affine Grassmannian, I: Transversal slices via instantons on $A_k$ -singularities

Braverman, Alexander ; Finkelberg, Michael

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p. 175-206

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On the integrality of the Taylor coefficients of mirror maps

Krattenthaler, Christian ; Rivoal, Tanguy

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p. 175-218

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Hall algebras and quantum Frobenius

Mcgerty, Kevin

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p. 181-206

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Optimal three-ball inequalities and quantitative uniqueness for the Lamé system with Lipschitz coefficients

Lin, Ching-Lung ; Nakamura, Gen ; Wang, Jenn-Nan

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p. 189-204

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Stabilization for mapping class groups of 3-manifolds

Hatcher, Allen ; Wahl, Nathalie

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p. 205-269

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A relative trace identity between ${\rm GL}_{2n}$ and $\widetilde{\mathrm{Sp}}_n$

Mao, Zhengyu ; Rallis, Stephen

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p. 207-255

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Spaces and groups with conformal dimension greater than one

Mackay, John M.

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p. 211-227

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Universal classes for algebraic groups

Touzé, Antoine

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p. 219-249

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Algebraic theta functions and the $p$ -adic interpolation of Eisenstein-Kronecker numbers

Bannai, Kenichi ; Kobayashi, Shinichi

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p. 229-295

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Bifunctor cohomology and cohomological finite generation for reductive groups

Touzé, Antoine ; Van Der Kallen, Wilberd

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p. 251-278

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Minimizers for the Hartree-Fock-Bogoliubov theory of neutron stars and white dwarfs

Lenzmann, Enno ; Lewin, Mathieu

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p. 257-315

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Entropy of semiclassical measures in dimension 2

Rivière, Gabriel

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p. 271-335

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Skinning maps

Kent, Richard Peabody

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p. 279-336

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The tropical vertex

Gross, Mark ; Pandharipande, Rahul ; Siebert, Bernd

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p. 297-362

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Integrable discrete Schrödinger equations and a characterization of Prym varieties by a pair of quadrisecants

Grushevsky, Samuel ; Krichever, Igor

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p. 317-371

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Opers with irregular singularity and spectra of the shift of argument subalgebra

Feigin, Boris ; Frenkel, Edward ; Rybnikov, Leonid

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p. 337-363

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Strongly fillable contact manifolds and $J$ -holomorphic foliations

Wendl, Chris

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p. 337-384

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Gröbner bases for operads

Dotsenko, Vladimir ; Khoroshkin, Anton

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p. 363-396

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Large values of eigenfunctions on arithmetic hyperbolic surfaces

Milićević, Djordje

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p. 365-401

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Homological mirror symmetry for the 4-torus

Abouzaid, Mohammed ; Smith, Ivan

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p. 373-440

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Binomial $D$ -modules

Dickenstein, Alicia ; Matusevich, Laura Felicia ; Miller, Ezra

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p. 385-429

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Hilbert irreducibility above algebraic groups

Zannier, Umberto

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p. 397-425

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Twisting Hermitian and hypercomplex geometries

Swann, Andrew

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p. 403-431

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A remark on the Mahler conjecture: Local minimality of the unit cube

Nazarov, Fedor ; Petrov, Fedor ; Ryabogin, Dmitry ; Zvavitch, Artem

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p. 419-430

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Logarithmic trace and orbifold products

Edidin, Dan ; Jarvis, Tyler J. ; Kimura, Takashi

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p. 427-473

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Arithmetic invariants of discrete Langlands parameters

Gross, Benedict H. ; Reeder, Mark

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p. 431-508

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Regularity of optimal transport in curved geometry: The nonfocal case

Loeper, Grégoire ; Villani, Cédric

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p. 431-485

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MV-polytopes via affine buildings

Ehrig, Michael

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p. 433-482

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Uniqueness of tangent cones for semicalibrated integral $2$ -cycles

Pumberger, David ; Rivière, Tristan

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p. 441-480

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Cutoff phenomena for random walks on random regular graphs

Lubetzky, Eyal ; Sly, Allan

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p. 475-510

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On Siegel disks of a class of entire maps

Zakeri, Saeed

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p. 481-532

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Towards a geometric Jacquet-Langlands correspondence for unitary Shimura varieties

Helm, David

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p. 483-518

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Minimizers of convex functionals arising in random surfaces

De Silva, Daniela ; Savin, Ovidiu

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p. 487-532

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Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups

Dymarz, Tullia

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p. 509-526

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Conformal actions of nilpotent groups on pseudo-Riemannian manifolds

Frances, Charles ; Melnick, Karin

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p. 511-550

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Monopole Floer homology for rational homology 3-spheres

Frøyshov, Kim A.

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p. 519-576

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Collisions and spirals of Loewner traces

Lind, Joan ; Marshall, Donald E. ; Rohde, Steffen

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p. 527-573

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Topology of Riemannian submanifolds with prescribed boundary

Alexander, Stephanie ; Ghomi, Mohammad ; Wong, Jeremy

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p. 533-565

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The multiplicity one case of Lusztig's conjecture

Fiebig, Peter

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p. 551-571

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Balanced metrics and Chow stability of projective bundles over Kähler manifolds

Seyyedali, Reza

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p. 573-605

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On amenability of automata groups

Bartholdi, Laurent ; Kaimanovich, Vadim A. ; Nekrashevych, Volodymyr V.

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p. 575-598

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Deformation of rank $2$ quasi-bundles and some strange dualities for rational surfaces

Abe, Takeshi

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p. 577-620

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Karpińska's paradox in dimension 3

Bergweiler, Walter

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p. 599-630

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