Workshop on Galois Cohomology and Massey Products
A conference in honour of Jan Minac's 71st birthday
Description
University of Ottawa STEM Building, Room 201
Galois cohomology plays a crucial role in various areas of mathematics, particularly in algebraic number theory, algebraic geometry, and group theory. It provides a bridge between the algebraic properties of fields and the geometry of associated algebraic schemes or varieties. For instance, it is an indispensable tool to analyze the existence of rational points on algebraic varieties (e.g. the Brauer-Manin obstruction, the Hasse principle). It lies in the foundations of the modern class field theory (used to study absolute Galois groups). Its non-abelian version is used to study and to classify torsors for algebraic groups (quadratic forms, central simple algebras, Jordan algebras), and the respective projective homogeneous varieties (Severi-Brauer varieties, quadrics).
Vladimir Chernousov (University of Alberta)
Ido Efrat (Ben-Gurion University of the Negev)
Mathieu Florence (Institut de Mathématiques de Jussieu)
Julia Hartmann (University of Pennsylvania)
Detlev Hoffmann (TU Dortmund)
Christian Maire (University of Franche Comté)
Alexander Merkurjev (UCLA)
Tung T. Nguyen (UWO)
Zinovy Reichstein (UBC)
Federico Scavia (Université Paris 13)
Nguyen Duy Tan (Hanoi University of Science and Technology)
Adam Topaz (University of Alberta)
Charlotte Ure (Illinois State University)
Schedule
Please find the schedule here.
Sponsors
Please register for this event here: https://portal.fields.utoronto.ca/personal-portal/participation/2548 .
Schedule
| 09:45 to 10:00 |
A short intro
|
| 10:00 to 11:00 |
The Massey Vanishing Conjecture for fourfold Massey products modulo 2 (Part I)
(A. Merkurjev) |
| 11:00 to 11:30 |
Cafe break
|
| 11:30 to 12:20 |
Milnor K-theory is all you need
(A. Topaz) |
| 12:20 to 14:00 |
Lunch break
|
| 14:30 to 15:20 |
A lower bound on the essential dimension of a reductive group
(Z. Reichstein) |
| 15:45 to 16:15 |
Springer's decomposition theorem for torsors and essential dimension
danny ofek, University of British Columbia |
| 09:00 to 10:00 |
The Massey Vanishing Conjecture for fourfold Massey products modulo 2 (Part II)
(A. Merkurjev) |
| 10:10 to 11:00 |
On certain properties of the p-unitary Cayley graph over a nite ring
Tung Nguyen, Western University |
| 11:00 to 11:30 |
Cafe break
|
| 11:30 to 12:20 |
The Quadratic Zariski Problem
Detlev Hoffmann, TU Dortmund University |
| 12:20 to 14:00 |
Lunch break
|
| 14:30 to 15:20 |
Towards a refinement of the Bloch-Kato conjecture
Charlotte Ure, Illinois State University |
| 15:45 to 16:15 |
Maximal extensions of Pythagorean fields and oriented Right Angled Artin Groups
Oussama Hamza |
| 09:00 to 10:00 |
The Massey Vanishing Conjecture for fourfold Massey products modulo 2 (Part III)
(F. Scavia) |
| 10:10 to 11:00 |
On classification of groups of type $F_4$ via cohomological invariants
(V. Chernousov) |
| 11:00 to 11:30 |
Cafe break
|
| 11:30 to 12:20 |
Local-Global Principles for Tori over Semiglobal Fields
Julia Hartmann, University of Pennsylvania |
| 12:20 to 14:00 |
Lunch break
|
| 14:30 to 15:20 |
The symbol length of Massey products
Ido Efrat, Ben-Gurion University of the Negev |
| 18:00 |
Conference dinner
|
| 09:00 to 10:00 |
The Massey Vanishing Conjecture for fourfold Massey products modulo 2 (Part IV)
(F. Scavia) |
| 10:10 to 11:00 |
Lifting representations and applications
(M. Florence) |
| 11:00 to 11:30 |
Cafe break
|
| 11:30 to 12:20 |
On tamely ramified Galois extensions of number fields
Christian Maire, University of Franche-Comté |
