SCIENTIFIC PROGRAMS AND ACTIVITIES

March 18, 2024

April 13-15, 2007
Lie Algebra Workshop

University of Ottawa

Organizers:
Erhard Neher and Alistair Savage (University of Ottawa)


University of Ottawa

Overview

The workshop will feature talks on recent advances in the theory of Lie algebras and related subjects. In particular, there will be a focus on current developments in geometric representation theory. During the workshop Shrawan Kumar (University of North Carolina) will present a CRM-University of Ottawa Distinguished Lecture.

Other speakers include:

B. Allison (Alberta)
S. Arkhipov (Toronto)
Y. Billig (Carleton)
D. Brooke (University of Toronto)
V. Chari (UC Riverside)
C. Hague (University of North Carolina, Chapel Hill)
G. Hofmann (Dalhousie University)
J. Kamnitzer (UC Berkeley)
A. Kirillov, Jr. (SUNY Stony Brook)
A. Licata (Yale)
M. Nesterenko (University of Montreal)
P. Senesi (UC Riverside)
P. Winternitz (CRM)
S. Zwicknagl (UC Riverside)

 

Registration

There is no registration fee. However, participants are encouraged to register early to facilitate room reservations, to ensure the receipt of conference update emails, and to help students identify potential roommates.

Support for graduate students and postdoctoral fellows

There are limited funds available to support graduate students and postdoctoral fellows. If interested, please complete the online form by February 25, 2007. Application is now closed.

Schedule

Location: All events will take place in the Department of Mathematics and Statistics, 585 King Edward, University of Ottawa. The talks will be in room B005. The registration on Friday, the coffee breaks and the lunch on Saturday will be in room 104 (lounge).


Friday, April 13, 2007
9:30-10:00

On-site registration and coffee in room 104

10:00-10:45 Bruce Allison, University of Alberta
Realization of Lie tori
11:00-11:30 Georg Hofmann, Dalhousie University
Weyl groups with presentation by conjugation
11:45-12:30 Anthony Licata, Yale University
Quiver varieties and level-rank duality
12:30-14:00 Lunch Break
14:00-14:45

Pavel Winternitz, CRM and Université de Montréal
Applications of Lie theory to the numerical solution of differential equations

15:00-15:30 Coffee in room 104 (departmental lounge)
15:30-16:30 Shrawan Kumar, University of North Carolina, Chapel Hill
Eigenvalue problem and a new product in cohomology of flag varieties
(CRM distinguished lecture)
17:00-17:45

Sergey Arkhipov, University of Toronto
On an exotic bialgebra structure on the semi-regular module


Saturday, April 14, 2007
9:30-10:00 On-site registration and coffee in room 104
10:00-10:45 Joel Kamnitzer, University of California, Berkeley
Categorification of Reshtikhin-Turaev invariants via the loop Grassmannian
11:00-11:30 Charles Hague, University of North Carolina, Chapel Hill
Cohomology of cotangent bundles of flag varieties and the BK-filtration
11:45-12:30 Shrawan Kumar, University of North Carolina, Chapel Hill
Equivariant K-theory of flag varieties
12:30-14:00 Lunch in room 104 (departmental lounge)
14:00-14:45 Alexander Kirillov Jr., SUNY Stony Brook
Affine root systems and equivariant sheaves on P1
15:00-15:30 Maryna Nesterenko, Université de Montréal
Contractions of low-dimensional Lie algebras
15:30- 16:00 Coffee in room 104 (departmental lounge)
16:00-16:30 Sebastian Zwicknagl, University of California, Riverside
Quantum symmetric algebras and their applications
17:00-17:45 Yuly Billig, Carleton University
Cohomology of the Lie algebra of vector fields on a parallelizable manifold
18:30 No-host dinner (details to be determined)

Sunday, April 15, 2006
9:00-9:30 Coffee in room 104 (departmental lounge)
9:30-10:00 David Brooke, University of Toronto
On decomposing repeated representations in a tensor product
10:20-10:50 Prasad Senesi, University of California, Riverside
Weyl modules of twisted loop algebras
11:20-12:00 Vyjayanthi Chari, University of California, Riverside
Weyl modules for the loop algebra of an affine Kac-Moody algebra