Institute of Mathematics

Professor

Prof. Dr. Joseph Ayoub

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

E-Mail:
Phone: +41 44 635 58 48
Fax: +41 44 635 57 06
Office: Y27K40
Field of Research:
Algebraic Geometry and motives
Secretary:
E-Mail:
Phone:
Grit Schütze

+41 44 635 58 00

Seminars & Lectures

Research seminars
Oberseminar: Algebraische Geometrie
Mo
13.15-14.45
Joseph Ayoub, Christian Okonek, Gisbert Wüstholz
 
Colloquia
Zurich Colloquium in Mathematics
Di
17.15-18.30
KO2F150
Rémi Abgrall, Joseph Ayoub, Peter Bühlmann, Marc Burger, Camillo De Lellis, Horst Knörrer
 

Lectures
Étale cohomology
Mo
10.15-12.00
Di
10.15-12.00
The first date of the lecture is Monday 30.09.2019

Publications

J. Ayoub
P^1-Localisation et une classe de Kodaira-Spencer arithmétique
Preprint PDF  

J. Ayoub
Nouvelles cohomologies de Weil en caractéristique positive
Preprint 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
To appear in Tohoku Mathematical Journal. 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


2019201820172016201520142013201220112010All
GuestStay
Dr. Haoran Wang, IHES (Paris)
Talk: On the geometry of the tame Drinfeld cover
07.12.14 - 08.12.14Ayoub, Joseph
Prof. Dr. Massimo Bertolini, University of Duisburg-Essen (Essen)
Talk: Euler systems and the Birch and Swinnerton-Dyer conjecture
30.11.14 - 01.12.14Ayoub, Joseph
Dr. Dennis Eriksson, Chalmers University (Gothenburg)
Talk: A base change conductor
09.11.14 - 11.11.14Ayoub, Joseph
Prof. Dr. Jean-Benoît Bost, Université Paris-Sud (Orsay)
Talk: Constructing vector bundles on surfaces over number fields from formal and analytic data
03.11.14 - 04.11.14Ayoub, Joseph
Prof. Dr. Ben Moonen, Radboud University Nijmegen (Nijmegen)
Talk: The Tate and Mumford-Tate conjectures for some classes of algebraic surfaces
26.10.14 - 28.10.14Ayoub, Joseph
Dr. Simon Riche, Université Blaise Pascal (Clermont-Ferrand)
Talk: Koszul duality for modular perverse sheaves on flag varieties
20.10.14 - 22.10.14Ayoub, Joseph
Prof. Dr. Fabrizio Andreatta, University of Milan (Milan)
28.07.14 - 29.07.14Ayoub, Joseph
Prof. Dr. Luca Barbieri Viale, (Universität di Milano, Mailand)
28.07.14 - 29.07.14Ayoub, Joseph
Prof. Dr. Jean-Marc Fontaine, University Paris 11 Orsay (Paris)
28.07.14 - 29.07.14Ayoub, Joseph
Dr. Jean-Baptiste Teyssier, KU Leuven (Leuven)
Talk: On a characterization of regular holonomic D-modules
04.05.14 - 06.05.14Ayoub, Joseph
Prof. Dr. Behrang Noohi, Queen Mary, University of London (London)
Talk: Homotopy theory for topological stacks
27.04.14 - 28.04.14Ayoub, Joseph
Prof. Dr. Andrea D'Agnolo, Università degli Studi di Padova (Padova)
Talk: Riemann-Hilbert correspondence for irregular holonomic D-modules
13.04.14 - 15.04.14Ayoub, Joseph
Prof. Dr. Olivier Debarre, École normale supérieure (Paris)
Talk: Moduli spaces for certain Fano varieties
31.03.14 - 01.04.14Ayoub, Joseph
Dr. Pieter Jan Bruin, Universiteit Leiden (Leiden, Netherlands)
04.03.14 - 09.03.14Ayoub, Joseph