Prof. Dr. Joseph Ayoub

Institut für Mathematik
Institut für Mathematik, Universität Zürich
Winterthurerstrasse 190
CH-8057 Zürich

E-Mail:
Fax: +41 44 635 57 06
Office: Y27K40
Field of Research:
Algebraische Geometrie
Working group:
Secretary:
E-Mail:
Phone:
Grit Schütze

+41 44 635 58 00

Lectures & Seminars

Research seminars
Oberseminar: Algebraische Geometrie
Di
13.15-14.45
Joseph Ayoub, Christian Okonek, Gisbert Wüstholz
 
Colloquia
Zurich Colloquium in Mathematics
Di
16.30-18.00
KO2F150
Joseph Ayoub, Afonso Bandeira, Mikaela Iacobelli, Alessandra Iozzi, Siddhartha Mishra, Rahul Pandharipande, Stefan Sauter, Benjamin Schlein
 

Lectures
 
Topology
Topology
Mo
10.15-12.00
Mi
10.15-12.00

Exercise Topology Group 1 Wednesday
Mi
08.00-09.45

Exercise Topology Group 2 Thursday
Do
13.00-14.45

Exercise Topology Group 3 Friday
Fr
13.00-14.45

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


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GuestStay
Prof. Dr. Benoît Stroh, Université Pierre et Marie Curie (Paris)
Talk: Ample line bundles on Flag Shimura varieties
17.12.17 - 18.12.17Ayoub, Joseph
Prof. Dr. Lars Hesselholt, University of Copenhaguen (Copenhagen)
Talk: Higher algebra and arithmetic
20.11.17 - 21.11.17Ayoub, 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 - 14.11.17Ayoub, Joseph
Prof. Dr. Bertrand Toen, CNRS, Université de Toulouse (Toulouse)
Talk: Bloch's conductor formula and non-commutative geometry
05.11.17 - 07.11.17Ayoub, Joseph
Dr. Mathieu Florence, Université Paris 6 (Paris)
Talk: Axiomatizing Kummer's theory
29.10.17 - 30.10.17Ayoub, Joseph
Dr. Michael Gröchenig, Freie Universität Berlin (Berlin)
Talk: Rigid local systems
13.10.17 - 18.10.17Ayoub, Joseph
Dr. Damian Brotbek, Université de Strasbourg (Strasbourg)
Talk: On the hyperbolicity of general hypersurfaces
09.10.17 - 12.10.17Ayoub, Joseph
Dr. Alexander Kuznetsov, Steklov Mathematical Institute
Talk: D-equivalence and L-equivalence
02.10.17 - 02.10.17Ayoub, Joseph
Fabien Morel, (München)
03.09.17 - 04.09.17Ayoub, Joseph
Dr. Piotr Achinger, IHES (Bures-sur-Yvette)
Talk: Wild ramification and K(pi,1) spaces
29.05.17 - 30.05.17Ayoub, 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 - 23.05.17Ayoub, Joseph
Prof. Dr. Radu Laza, Stony Brook University (Stony Brook )
Talk: Some remarks on degenerations of Hyper-Kaehler Manifolds
14.05.17 - 16.05.17Ayoub, Joseph
Dr. Jean-Baptiste Teyssier, Université Sorbonne (Paris)
Talk: Skeletons and moduli of Stokes torsors
23.04.17 - 26.04.17Ayoub, Joseph
Prof. Dr. Ana Caraiani , Imperial College (London)
Talk: Galois representations and torsion classes
10.04.17 - 11.04.17Ayoub, Joseph
Prof. Dr. Florian Ivorra, Université de Rennes
05.04.17 - 30.04.17Ayoub, Joseph
Prof. Dr. Benoit Claudon, Université de Lorraine (Nancy)
Talk: Kodaira's problem for the fundamental group.
20.03.17 - 20.03.17Ayoub, Joseph
Dr. Amaury Thuillier, Université de Lyon (Lyon)
Talk: Piecewise monomial subspaces of non-Archimedean analytic spaces
06.03.17 - 06.03.17Ayoub, Joseph