Sommaire du Fascicule no. 0

1. On the Milnor Monodromy of the Exceptional Reflection Arrangement of Type $G_{31}$

Dimca, Alexandru ; Sticlaru, Gabriel

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p. 1-14

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2. On the Rank of Universal Quadratic Forms over Real Quadratic Fields

Blomer, Valentin ; Kala, V\' \i t\v ezslav

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p. 15-34

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3. Wide Subcategories are Semistable

Yurikusa, Toshiya

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p. 35-47

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4. Graded Frobenius Cluster Categories

Grabowski, Jan E. ; Pressland, Matthew

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p. 49-76

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5. The Universal Connection for Principal Bundles over Homogeneous Spaces and Twistor Space of Coadjoint Orbits

Biswas, Indranil ; Wong, Michael Lennox

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p. 77-115

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6. Hochschild Cohomology of Polynomial Representations of $\GL_2$

Miemietz, Vanessa ; Turner, Will

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p. 117-170

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7. On Nonarchimedean Banach Fields

Kedlaya, Kiran S.

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p. 171-188

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8. Deformation Theory with Homotopy Algebra Structures on Tensor Products

Robert-Nicoud, Daniel

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p. 189-240

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9. Differential Embedding Problems over Complex Function Fields

Bachmayr, Annette ; Harbater, David ; Hartmann, Julia ; Wibmer, Michael

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p. 241-291

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10. Euler-Like Vector Fields, Deformation Spaces and Manifolds with Filtered Structure

Sadegh, Ahmad Reza Haj Saeedi ; Higson, Nigel

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p. 293-325

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11. HNN Extensions of Quasi-Lattice Ordered Groups and their Operator Algebras

an Huef, Astrid ; Raeburn, Iain ; Tolich, Ilija

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p. 327-351

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12. Relative Property (T) for Nilpotent Subgroups

Chatterji, Indira ; Morris, Dave Witte ; Shah, Riddhi

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p. 353-382

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13. On Endoscopic $p$-Adic Automorphic Forms for $\SL_2$

Ludwig, Judith

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p. 383-406

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14. A Cycle Class Map from Chow Groups with Modulus to Relative $K$-Theory

Binda, Federico

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p. 407-444

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15. Differential Operators and Families of Automorphic Forms on Unitary Groups of Arbitrary Signature

Eischen, Ellen ; Fintzen, Jessica ; Mantovan, Elena ; Varma, Ila

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p. 445-495

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16. Lattices in Crystalline Representations and Kisin Modules Associated with Iterate Extensions

Ozeki, Yoshiyasu

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p. 497-541

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17. On the Homotopy Exact Sequence for Log Algebraic Fundamental Groups

Di Proietto, Valentina ; Shiho, Atsushi

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p. 543-597

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18. Spectral Asymptotics for the Schr\"odinger Operator on the Line with Spreading and Oscillating Potentials

Duch\^ene, Vincent ; Raymond, Nicolas

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p. 599-636

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19. Some Non-Special Cubic Fourfolds

Addington, Nicolas ; Auel, Asher

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p. 637-651

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20. A Local--Global Principle for Symplectic $K_2$

Lavrenov, Andrei

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p. 653-675

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21. Numerical Dimension and Locally Ample Curves

Lau, Chung-Ching

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p. 677-696

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22. Quasi-Homogeneity of the Moduli Space of Stable Maps to Homogeneous Spaces

Bärligea, Christoph Mark

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p. 697-745

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23. Hermitian Forms and Systems of Quadratic Forms

Nokhodkar, Amir Hossein

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p. 747-758

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24. Motivic Cohomology of Fat Points in Milnor Range

Park, Jinhyun ; Ünver, Sinan

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p. 759-798

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25. On Exact Pleijel's Constant for Some Domains

Bobkov, Vladimir

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p. 799-813

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26. Prolongations of t-Motives and Algebraic Independence of Periods

Maurischat, Andreas

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p. 815-838

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27. Abstract $\ell$--Adic $1$-Motives and Tate's Canonical Class for Number Fields

Greither, Cornelius ; Popescu, Cristian D.

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p. 839-870

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28. Dimension Theory of the Moduli Space of Twisted K-Differentials

Schmitt, Johannes

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p. 871-894

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29. Relative Homological Algebra via Truncations

Chach\'olski, Wojciech ; Neeman, Amnon ; Pitsch, Wolfgang ; Scherer, J\'er\^{o}me

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p. 895-937

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30. $p$-Adic Fourier Theory of Differentiable Functions

Nagel, Enno

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p. 939-967

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31. Cohomological Invariants of Genus Three Hyperelliptic Curves

Pirisi, Roberto

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p. 969-996

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32. Bivariant Theories in Motivic Stable Homotopy

D\'eglise, Fr\'ed\'eric

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p. 997-1076

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33. The Motivic Cofiber of $\tau$

Gheorghe, Bogdan

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p. 1077-1127

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34. On Vector-Valued Siegel Modular Forms of Degree $2$ and Weight $(j,2)$

Cl\'ery, Fabien ; van der Geer, Gerard

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p. 1129-1156

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35. The Complexity of a Flat Groupoid

Romagny, Matthieu ; Rydh, David ; Zalamansky, Gabriel

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p. 1157-1196

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36. Nonarchimedean Bornologies, Cyclic Homology and Rigid Cohomology

Corti{\sc\~n}as, Guillermo ; Cuntz, Joachim ; Meyer, Ralf ; Tamme, Georg

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p. 1197-1245

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37. Walls in Milnor Fiber Complexes

Miller, Alexander R.

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p. 1247-1261

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38. On the Quotients of the Maximal Unramified 2-Extension of a Number Field

Maire, Christian

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p. 1263-1290

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39. Proper Holomorphic Mappings onto Symmetric Products of a Riemann Surface

Bharali, Gautam ; Biswas, Indranil ; Divakaran, Divakaran ; Janardhanan, Jaikrishnan

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p. 1291-1311

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40. Arithmetic Families of $(\phi,\Gamma)$-Modules and Locally Analytic Representations of $GL_2(Q_p)$

Gaisin, Ildar ; Rodrigues Jacinto, Joaquin

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p. 1313-1404

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41. The Motivic Hopf Map Solves the Homotopy Limit Problem for $K$-Theory

R{\"o}ndigs, Oliver ; Spitzweck, Markus ; {\O}stv{\ae}r, Paul Arne

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p. 1405-1424

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42. Weil-\'Etale Cohomology and Zeta-Values of Proper Regular Arithmetic Schemes

Flach, Matthias ; Morin, Baptiste

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p. 1425-1560

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43. On Courant's Nodal Domain Property for Linear Combinations of Eigenfunctions. Part~{I}

Bérard, Pierre H. ; Helffer, Bernard

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p. 1561-1585

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44. Essential Dimension in Mixed Characteristic

Brosnan, Patrick ; Reichstein, Zinovy ; Vistoli, Angelo

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p. 1587-1600

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45. Big Cohen-Macaulay Modules, Morphisms of Perfect Complexes, and Intersection Theorems in Local Algebra

Avramov, Luchezar L. ; Iyengar, Srikanth B. ; Neeman, Amnon

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p. 1601-1619

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46. Embeddings of Quadratic Spaces

Chintala, Vineeth

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p. 1621-1634

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47. Rost Nilpotence and Free Theories

Gille, Stefan ; Vishik, Alexander

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p. 1635-1657

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48. The Log Term in the Bergman and Szeg\H o Kernels in Strictly Pseudoconvex Domains in $\mathbb C^2$

Ebenfelt, Peter

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p. 1659-1676

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49. Cylindrical Wigner Measures

Falconi, Marco

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p. 1677-1756

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53. Homological Stability of Automorphism Groups of Quadratic Modules and Manifolds

Friedrich, Nina

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p. 1729-1774

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50. Model Topoi and Motivic Homotopy Theory

Raptis, Georgios ; Strunk, Florian

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p. 1757-1797

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51. The zeta Functions of Moduli Stacks of $G$-Zips and Moduli Stacks of Truncated Barsotti--Tate Groups

Lopuha\"a-Zwakenberg, Milan

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p. 1799-1828

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52. Kähler Geometry on Hurwitz Spaces

Naumann, Philipp

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p. 1829-1861

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53. p-Adic Deformation of Motivic Chow Groups

Langer, Andreas

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p. 1863-1894

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