Prof. Dr. Joseph Ayoub
Institut für Mathematik, Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich
E-Mail:
Fax: +41 44 635 57 06
Office: Y27K40
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Lectures & Seminars
Publications
J. Ayoub
Weil cohomology theories and their motivic Hopf algebroids
Preprint PDF
J. Ayoub
Counterexamples to F. Morel's conjecture on pi_0^{A^1}
Comptes Rendus Mathématique, Volume 361 (2023), 1087-1090 PDF
J. Ayoub
Anabelian presentation of the motivic Galois group in characteristic zero
Preprint PDF
J. Ayoub
The six-functor formalism for rigid analytic motives (with M. Gallauer and A. Vezzani)
Forum of Mathematics, Sigma (2022), Vol. 10:e61 1–182 PDF
J. Ayoub
P^1-Localisation et une classe de Kodaira-Spencer arithmétique
Tunis. J. Math. Vol. 3 (2021), no. 2, 259–308 PDF
J. Ayoub
Nouvelles cohomologies de Weil en caractéristique positive
Algebra Number Theory 14 (2020), no. 7, 1747-1790 PDF
J. Ayoub
Topologie feuilletée et théorie de Galois différentielle
Preprint PDF
J. Ayoub
La version relative de la conjecture des périodes de Kontsevich-Zagier revistée
Tohoku Math. J. (2) 71 (2019), no. 3, 465-485. PDF
J. Ayoub
From motives to comodules over the motivic Hopf algebra
J. Pure Appl. Algebra 221 (2017), no. 7, 1507-1559. PDF
J. Ayoub
Motives and algebraic cycles: a selection of conjectures and open questions
Hodge theory and L^2-analysis, Adv. Lect. Math. (ALM), vol. 39, Int. Press, Somerville, MA, 2017, pp. 87-125. PDF
J. Ayoub
A guide to (étale) motivic sheaves
Proceedings of the ICM 2014 PDF
J. Ayoub
Periods and the conjectures of Grothendieck and Kontsevich-Zagier
Newsletter of the EMS, March 2014, Issue 91 PDF
J. Ayoub
Motives of rigid analytic tubes and nearby motivic sheaves
(with F. Ivorra and J. Sebag)
Ann. Sci. Éc. Norm. Supér. (4) 50 (2017), no. 6, 1335-1382. PDF
J. Ayoub
Nori 1-motives (with L. Barbieri-Viale)
Math. Ann. 361 (2015), no. 1-2, 367-402. PDF
J. Ayoub
Une version relative de la conjecture des périodes de Kontsevich-Zagier
Ann. of Math. (2) 181 (2015), no. 3, 905-992. PDF
J. Ayoub
La réalisation étale et les opérations de Grothendieck
Ann. Sci. Éc. Norm. Supér. 47 (2014), no. 1, 1-145. PDF
J. Ayoub
L'algèbre de Hopf et le groupe de Galois motiviques d'un corps de caractéristique nulle, II
J. Reine Angew. Math. 693 (2014), 151-226. PDF
J. Ayoub
L'algèbre de Hopf et le groupe de Galois motiviques d'un corps de caractéristique nulle, I
J. Reine Angew. Math. 693 (2014), 1-149. PDF
J. Ayoub
The n-motivic t-structures for n=0, 1 and 2
Adv. Math. 226 (2011), 111-138. PDF
J. Ayoub
Relative Artin motives and the reductive Borel-Serre compactification of a locally symmetric variety (with S. Zucker)
Invent. Math. 188 (2012), no.2, 277-427. PDF
J. Ayoub
Note sur les opérations de Grothendieck et la réalisation de Betti
J. Inst. Math. Jussieu 9 (2010), no. 02, 225-263. PDF
J. Ayoub
Motifs des variétés analytiques rigides
Mém. Soc. Math. Fr. (N.S.) (2015), no. 140-141, vi+386. PDF
J. Ayoub
1-Motivic sheaves and the Albanese functor (with L. Barbieri-Viale)
J. Pure Appl. Algebra 213 (2009), 809-839. PDF
J. Ayoub
Le carré du foncteur de dualité est monoidal
Comm. Algebra 39 (2011), 1528-1535. PDF
J. Ayoub
The motivic vanishing cycles and the conservation conjecture.
Algebraic cycles and motives. Vol. 1, 3-54, London Math. Soc. Lecture Note Ser., 343 (2007), Cambridge Univ. Press. PDF
J. Ayoub
Un contre-exemple à la conjecture de A^1-connexité de F. Morel
C. R. Math. Acad. Sci. Paris 342 (2006), no. 12, 943-948. PDF
J. Ayoub
Les six opérations de Grothendieck et le formalisme des cycles évanescents dans le monde motivique I & II
Astérisque, volumes 314 and 315. Société Math. France, 2007.
PDF
J. Ayoub
The direct extension theorem
J. Group Theory 9 (2006), no. 3, 307-316. PDF
Guest
2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | All |
Guest | Stay | |
Prof. Dr. Benoît Stroh, Université Pierre et Marie Curie (Paris) Talk: Ample line bundles on Flag Shimura varieties | 17.12.17 - 18.12.17 | Ayoub, Joseph |
Prof. Dr. Lars Hesselholt, University of Copenhaguen (Copenhagen) Talk: Higher algebra and arithmetic | 20.11.17 - 21.11.17 | Ayoub, Joseph |
Prof. Dr. Martin Möller, Goethe-Universität Frankfurt (Frankfurt ) Talk: Compactification of the moduli space of abelian differentials and application to realizability of tropical canonical divisors | 13.11.17 - 14.11.17 | Ayoub, Joseph |
Prof. Dr. Bertrand Toen, CNRS, Université de Toulouse (Toulouse) Talk: Bloch's conductor formula and non-commutative geometry | 05.11.17 - 07.11.17 | Ayoub, Joseph |
Dr. Mathieu Florence, Université Paris 6 (Paris) Talk: Axiomatizing Kummer's theory | 29.10.17 - 30.10.17 | Ayoub, Joseph |
Dr. Michael Gröchenig, Freie Universität Berlin (Berlin) Talk: Rigid local systems | 13.10.17 - 18.10.17 | Ayoub, Joseph |
Dr. Damian Brotbek, Université de Strasbourg (Strasbourg) Talk: On the hyperbolicity of general hypersurfaces | 09.10.17 - 12.10.17 | Ayoub, Joseph |
Dr. Alexander Kuznetsov, Steklov Mathematical Institute Talk: D-equivalence and L-equivalence | 02.10.17 - 02.10.17 | Ayoub, Joseph |
Fabien Morel, (München) | 03.09.17 - 04.09.17 | Ayoub, Joseph |
Dr. Piotr Achinger, IHES (Bures-sur-Yvette) Talk: Wild ramification and K(pi,1) spaces | 29.05.17 - 30.05.17 | Ayoub, Joseph |
Prof. Dr. Gerard Freixas Montplet, Institut de Mathématiques de Jussieu (Jussieu) Talk: Families of curves, flat line bundles and reciprocity laws. | 22.05.17 - 23.05.17 | Ayoub, Joseph |
Prof. Dr. Radu Laza, Stony Brook University (Stony Brook ) Talk: Some remarks on degenerations of Hyper-Kaehler Manifolds | 14.05.17 - 16.05.17 | Ayoub, Joseph |
Dr. Jean-Baptiste Teyssier, Université Sorbonne (Paris) Talk: Skeletons and moduli of Stokes torsors | 23.04.17 - 26.04.17 | Ayoub, Joseph |
Prof. Dr. Ana Caraiani , Imperial College (London) Talk: Galois representations and torsion classes | 10.04.17 - 11.04.17 | Ayoub, Joseph |
Prof. Dr. Florian Ivorra, Université de Rennes | 05.04.17 - 30.04.17 | Ayoub, Joseph |
Prof. Dr. Benoit Claudon, Université de Lorraine (Nancy) Talk: Kodaira's problem for the fundamental group. | 20.03.17 - 20.03.17 | Ayoub, Joseph |
Dr. Amaury Thuillier, Université de Lyon (Lyon) Talk: Piecewise monomial subspaces of non-Archimedean analytic spaces | 06.03.17 - 06.03.17 | Ayoub, Joseph |