SCIENTIFIC PROGRAMS AND ACTIVITIES

October  2, 2014

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR

January–June 2013
Thematic Program on Torsors, Nonassociative Algebras and Cohomological Invariants

Organizing Committee
Vladimir Chernousov (Alberta), Erhard Neher (Ottawa), Alexander Merkurjev (UCLA),
Arturo Pianzola (Alberta), Kirill Zainoulline (Ottawa)

Scientific Committee
Georgia Benkart (Wisconsin), Eric Friedlander (USC),
Ivan Panin (Steklov Mathematical Institute at St. Petersburg), Zinovy Reichstein (British Columbia)

Overview

The program will start in January with an intensive introductory course on algebraic groups, see below for more details. The introductory course will be followed by two concentration periods:
I. Applications of torsors to infinite dimensional Lie theory;
II. Torsors, motives and cohomological invariants aligned with the main themes of the program. Each period will feature several mini-courses and lecture series aimed at young researchers and students. At the end of each period we plan to have a mini-workshop with more specialized talks.
We plan to organize two seminar series, one more traditional with invited speakers (established researchers and postdocs) and a second one in the form of learning seminars aimed at graduate students and young researchers.
At the end of the program (June 9-15, 2013) we plan to have a conference summarizing the activity of the semester.

Intensive introductory course on algebraic groups

Starting January 14-February 2013
Graduate course on Algebraic Groups over arbitrary fields

(Vladimir Chernousov and Nikita Semenov)

Concentration Periods

I. February - March, 2013
Applications of torsors to infinite dimensional Lie theory
(organized by V. Chernousov, E. Neher and A. Pianzola)

Courses

Starting January 8, 2013 --
Graduate course on Affine and Extended Affine Lie Algebras
(E. Neher)
Starting January 10, 2013 --
Graduate Course: Algebraic and Geometric Theory of Quadratic Forms (N. Karpenko)
March 4-22 and April 8-26, 2013 --
Graduate Course on Reductive Group Schemes
(P. Gille)

Working Seminars on Cohomological Invariants

Wednesday 1:30 p.m Starting Feb. 13(Stewart Library)
Contact: Vladimir Chernousov (Alberta)

Workshop on Geometrid Methods in Lie Theory, March 18-29, 2013

II. April-June, 2013
Torsors, motives and cohomological invariants

(organized by V. Chernousov, A. Merkurjev and K. Zainoulline)

May 1-17, 2013
Spring School and Workshop on Torsors, Motives and Cohomological Invariants

May 1-7
Mini-Course 4: Exceptional isomorphisms, triality, and applications to central simple algebras with involution
(Anne Quéguiner-Mathieu)

May 6-10
Mini-Course 5: Introduction to Chow groups and Chow motives (Stefan Gille)

May 13-17
Mini-Course 6: Local-global principles in the theory of linear algebraic groups (Julia Hartmann)

May 6-10
Mini-Course 7: Motives and algebraic cycles on twisted flag varieties (Kirill Zainoulline)

May 13-17
Mini-Course 8: An introduction to the theory of essential dimension. (Zinovy Reichstein)

Working Seminars

Wednesday 1:30 p.m (Stewart Library)
Contact: K. Zainoulline

Mini lecture series

During the mini-courses, we plan to have several lecture series (2 lectures each) on various topics in the direction of the program aimed at post-docs and researchers:

  • Cohomological invariants for exceptional groups by S. Garibaldi
  • Patching and a local-global principle by D. Krashen
  • Torsors over a general base by B. Calmes

June 10-14, 2013
Conference on Torsors, Nonassociative Algebras and Cohomological Invariants

Summarizing the activity of the semester.

Coxeter Lectures

May 21-23, 2013 at 3:30 p.m.
Raman Parimala, Emory University

Distinguished Lectures

May 28-30, 2013 at 3:30 p.m.
Jean-Pierre Serre, Collège de France

Seminars

Seminars are important occasions for participants and short-term visitors to meet and exchange ideas. There will be two types of seminars, a more traditional seminar for established researchers and a second one for young researchers and participating students.

The first seminar series will feature short-term visitors and participating postdoctoral fellows and will present finished research. Program Postdoctoral Seminars
The second seminar will be rather informal. Its aim is to provide young researchers a forum to discuss their ongoing research, or to learn together some more advanced topics.

Postdoctoral Fellows

The Thematic Program on Torsors, Nonassociative Algebras and Cohomological Invariants is pleased to welcome the following Postdoctoral Fellows to the Program

Fields Postdoctoral Fellows  
Jeremy Jacobson, PhD (Louisiana State University 2012)
Ting-Yu Lee, PhD (Universite Paris 6, 2012)
Anastasia Stavrova, PhD (St. Petersburg State University, 2009)
Wanshun Wong, PhD (UCLA. 2012)
Changlong Zhong, PhD (University of Southern California, 2011)

Program Visitors

All scientific events are open to the mathematical sciences community. Additional support may be available to support junior US visitors to this program. Fields scientific programs are devoted to research in the mathematical sciences, and enhanced graduate and post-doctoral training opportunities. Part of the mandate of the Institute is to broaden and enlarge the community, and to encourage the participation of women and members of visible minority groups in our scientific programs.

For additional information contact thematic(at)fields.utoronto.ca

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