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THE
FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES |
FOCUSED
RESEARCH WORKSHOP ON EXTERIOR DIFFERENTIAL SYSTEMS
AND LIE THEORY
December
9-13, 2013
at
the Fields Institute , 222 College St. Toronto
Organizing
Committee
Rui Loja Fernandes, (UIUC), Niky Kamran (McGill),
Peter J. Olver (Minnesota)
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Overview
The aim of this focused research workshop is to bring together
mathematicians working in two different, but related, fields: Exterior
Differential Systems and Cartan’s Equivalence Method on the
one hand and Lie theory (especially Lie pseudo-groups and Lie groupoids/algebroids)
on the other. Not only there have been some very exciting advances
in these subjects recently, but also it has became clear in the
last few years that these areas are intimately connected. Hence,
given the current interest by different groups of people and different
viewpoints, there is a need for a focused workshop which can bring
together the top researchers, promising young researchers, and students
in these very active fields
Activities include two mini-courses presented by Robert Bryant
(MSRI) and Marius Crainic (Utrecht), discussion sessions, and research
talks.
Confirmed Participants
Invited speakers
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A. Blaom (AUT)
R. Bryant, (Duke)
H. Bursztyn (IMPA)
M. Crainic (Utrecht)
M. Gualtieri (Toronto)
I. Kogan (NC State)
B. Kruglikov (Tromso)
K. Mackenzie (Sheffield)
E. Mansfield (Kent, UK)
E. Meinrenken (Toronto)
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E.Miranda (Barcelona)
J. Pohjanpelto (Oregon State)
C. Robles (IAS/TAMU)
M. A. Salazar (CRM-Barcelona)
A. Smith (Fordham)
I. Struchiner ( São Paulo)
F. Valiquette (Dalhousie)
O. Yudilevich (Utrecht)
N.T. Zung (Toulouse) |
Draft Schedule
| Monday, December 9 |
| 09:30 - 10:30 |
Robert Bryant, Duke University
Lectures on Exterior Differential Systems and Lie Theory Part 1 |
| 10:30 - 11:00 |
Coffee Break |
| 11:00 - 12:00 |
Marius Crainic, Utrecht University
Lie pseudogroups: reading Cartan part 1 |
| 12:00 - 14:00 |
Lunch Break |
| 14:00 - 15:00 |
Colleen Robles, IAS/TAMU
Schubert varieties as variations of Hodge structure |
| 15:00 - 15:30 |
Abraham Smith, Fordham
Towards Generalized Hydrodynamic Integrability via the Characteristic
Variety (slides) |
| 15:30 - 16:00 |
Tea Break |
| 16:00 - 16:30 |
Henrique Bursztyn, IMPA
Multiplicative geometric structures on Lie groupoids (slides) |
| 16:30 - 17:00 |
Nguyen Tien Zung, University of Toulouse
Deformation coholomogy of singular foliations |
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Tuesday, December 10
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| 09:30 - 10:30 |
Robert Bryant, Duke University
Lectures on Exterior Differential Systems and Lie Theory Part 2 |
| 10:30 - 11:00 |
Coffee Break |
| 11:00 - 12:00 |
Marius Crainic, Utrecht University
Lie pseudogroups:reading Cartan part 2 |
| 12:00 - 14:00 |
Lunch Break |
| 14:00 - 15:00 |
Anthony D. Blaom, AUT
Cartan connections on Lie algebroids
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| 15:00 - 15:30 |
Ivan Struchiner, University of São Paulo
Cartan's Realization Problem: Global Aspects |
| 15:30 - 16:00 |
Tea Break |
| 16:00 - 16:30 |
Maria Amelia Salazar,CRM-Barcelona
Pfaffian groupoids (slides) |
| 16:30 - 17:00 |
Eva Miranda,Universitat Politècnica
de Catalunya
Symmetries of b-manifolds and their generalizations (slides) |
| 17:00 - 18:00 |
Discussion |
| 19:00 |
Workshop Dinner (tickets available
for purchase December 9) |
| Wednesday, December 11 |
| 09:30 - 10:30 |
Robert Bryant, Duke University
Lectures on Exterior Differential Systems and Lie Theory Part 3 |
| 10:30 - 11:00 |
Coffee Break |
| 11:00 - 12:00 |
Marius Crainic, Utrecht University
Lie pseudogroups:reading Cartan part 3 |
| 12:00 - 14:00 |
Lunch Break |
| 14:00 - 15:00 |
Boris Kruglikov, Tromso
The gap phenomenon for symmetry pseudogroups (slides) |
| 15:00 - 15:30 |
Ori Yudilevich, Utrecht University
Cartan's second fundamental theorem |
| 15:30 - 16:00 |
Marco Gualtieri, Toronto
The stokes groupiods (slides) |
| 16:00 |
Fields Institute Holiday
Party |
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Thursday, December 12
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| 09:30 - 10:30 |
Robert Bryant, Duke University
Lectures on Exterior Differential Systems and Lie Theory Part 4 |
| 10:30 - 11:00 |
Coffee Break |
| 11:00 - 12:00 |
Marius Crainic, Utrecht University
Lie pseudogroups:reading Cartan part 4 |
| 12:00 - 14:00 |
Lunch Break |
14:00 - 15:00 |
Francis Valiquette, Dalhousie University
Recursive Moving Frames (slides) |
| 15:00 - 15:30 |
Irina Kogan, North Carolina State University
and IMA
Invariant Variational Calculus (slides) |
| 15:30 - 16:00 |
Tea Break |
| 16:00 - 16:30 |
Juha Pohjanpelto, Oregon State
Group Actions and Cohomology in the Calculus of Variations (slides) |
| 16:30 - 17:00 |
Ercument Ortacgil, Bogazici University
Higher order characteristic classes |
| 17:00 - 18:00 |
Discussion |
| Friday, December 13
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| 09:30 - 10:30 |
Kirill Mackenzie, Sheffield
Multiple differentiation processes in differential geometry (slides) |
| 10:30 - 11:00 |
Coffee Break |
| 11:00 - 12:00 |
Eckhard Meinrenken, University of Toronto
On the Van Est homomorphism for Lie groupoids (slides) |
Participants as of
November 29, 2013
**awaiting registration confirmation
| Full Name |
University/Affiliation |
| Adenekan, Timothy |
Vrije Universiteit Brussel |
| Adepoju, Dayo James** |
Heritage Art and Culture Institute |
| Annor, Eric** |
Boattnks Enterprise |
| Benfield, Michael |
North Carolina State University |
| Beya wa Beya, John |
University of Kinshasa |
| Blaom, Anthony D. |
AUT University |
| Bryant, Robert |
Duke University |
| Bursztyn, Henrique |
Instituto Nacional de Matematica Pura e Aplicada |
| Chen, Jeongoo |
Intellicon |
| Crainic, Marius |
Utrecht University |
| Drummond, Thiago |
Federal University of Rio de Janeiro |
| Fernandes, Rui Loja |
University of Illinois at Urbana-Champaign. |
| Gualtieri, Marco |
University of Toronto |
| Kamran, Niky |
McGill University |
| Kogan, Irina |
North Carolina State University |
| Kruglikov, Boris |
University of Tromsø |
| Mackenzie, Kirill |
University of Sheffield |
| Mansouri, Abdol-Reza |
Queen's University |
| McMillan, Benjamin |
UC Berkeley |
| Meinrenken, Eckhard |
University of Toronto |
| Miranda, Eva |
Universitat Autònoma de Barcelona |
| Okuma, James |
Institute of Human Virology |
| Olver, Peter J. |
University of Minnesota |
| Ortacgil, Ercument |
Bogazici University |
| Pohjanpelto, Juha |
Oregon State University |
| Robles, Colleen |
IAS/TAMU |
| Salazar, Maria Amelia |
CRM-Barcelona |
| Sarfo, George** |
Kingkubi Enterprise |
| Smith, Abraham |
Fordham University |
| Struchiner, Ivan |
University of São Paulo |
| Valiquette, Francis |
Dalhousie University |
| Yamaguchi, Keizo** |
Hokkaido University |
| Yudilevich, Ori |
Utrecht University |
| Zung, Nguyen Tien |
Université de Toulouse III |
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