SCIENTIFIC PROGRAMS AND ACTIVITIES

October 31, 2014

Summer School and Conference in Geometric Representation Theory and Extended Affine Lie Algebras
University of Ottawa, Ontario, Canada

Summer School: June 15-27, 2009 (Location: STE G0103)
Conference: June 29 - July 3, 2009 (Location: DMS 1160)

Link to Lecture video and notes for the Conference and the Summer School

Organizing Committee: Erhard Neher and Alistair Savage
Scientific Committee: Erhard Neher, Alistair Savage, Weiqiang Wang

Overview:

Lie algebras and their representations form an extremely rich and important field of mathematics. Geometric representation theory is a relatively new field which has attracted much attention. The general idea is to use geometric methods to construct classically algebraic objects, such as representations of Lie groups and Lie algebras. Geometric techniques have proven to be particularly well suited to establishing positivity and integrality results, as these are often easy consequences of the geometric nature of the objects involved. One is also often able to use the representation theory of objects such as (affine) Kac-Moody algebras to organize and better understand the homology of various interesting spaces appearing in the constructions, like Hilbert schemes, flag varieties, Steinberg varieties, affine Grassmannians, and quiver varieties. In addition to its obvious connections to representation theory, geometric representation theory has been found to be intimately related to combinatorics (crystals, quivers), cluster algebras, mathematical physics, and many other subjects.

Within the theory of Kac-Moody algebras, it is the finite-dimensional and affine Kac-Moody algebras that are most important, not only for Lie theory itself, but also for applications to number theory, soliton equations and mathematical physics. Extended affine Lie algebras are a class of Lie algebras that encompasses these two important types of Kac-Moody algebras, as well as toroidal Lie algebras. Contrary to arbitrary (non-symmetrizable) Kac-Moody algebras, whose general structure is still somewhat mysterious despite three decades of intensive research, the structure theory of extended affine Lie algebras has just recently been worked out.

The summer school will consist of three mini-courses per week for two weeks. These courses will serve as an introduction to geometric representation theory, quantum groups and combinatorial representation theory (i.e. the theory of crystal bases), the structure theory of extended affine Lie algebras and the representation theory of affine and toroidal Lie algebras. They will be aimed at the graduate student / postdoctoral fellow level. Following the summer school there will be a one week conference featuring speakers presenting recent developments in areas related to the material of the summer school.

Courses:

Week 1:

Week 2:

Invited Conference Speakers

Michael Ehrig (Cologne)
Farkhod Eshmatov (Michigan)
Ghislain Fourier (Cologne)
Victor Ginzburg (Chicago)
Jacob Greenstein (UC Riverside)
Naihuan Jing (NC State)
Brant Jones (UC Davis)
Joel Kamnitzer (Toronto)
Aaron Lauda (Columbia)
Anthony Licata (Stanford / MPI)
Anton Malkin (UIUC)
Ivan Mirkovic (U Massachusetts, Amherst)
Kailash Misra (NC State)
Eugene Mukhin (IUPUI)
Hiraku Nakajima (Kyoto)
Olivier Schiffmann (Paris 6)
Anne Schilling (UC Davis)
Michela Varagnolo (Cergy-Pontoise)
Eric Vasserot (Paris 7)
Kari Vilonen (Northwestern)
Weiqiang Wang (Virginia)

Registration and Financial Support:

The cost of registration for the summer school is $50/week for graduate students and postdocs and $100/week for others. For the conference, registration fees are $60 for graduate students and postdocs and $100 for others.

Funding will be available for graduate students, postdocs and junior faculty. Also, there is support available from NSF for US based participants. To apply for this funding, fill out the application form by clicking on the link near the top of the page. The deadline for application for support is February 28, 2009. Funding applicants will be notified of the results in March 2009. Those interested in giving a presenting a poster at the summer school and/or conference should also submit an abstract above.
The deadline for abstract submission was May 18, 2009

Arrival and Departure Dates

Participants in the summer school should arrive on June 14. Courses will begin the morning of June 15 and finish late afternoon on June 26. Participants not staying for the conference would generally depart on June 27.

Conference talks will begin in the morning on June 29 and the last talk will take place in the early afternoon on July 3. Therefore, the expected arrival date of conference participants is June 28 and the expected departure date is the evening of July 3 or any time on July 4.

Participant List as of June 25, 2009

Fullname University/Affiliation
Summer School June 15-99
Summer School Jun 22-26
Conference
Andersen, Therese Sřby Aarhus Universitet
1
1
0
Ascah-Coallier, Isabelle Université de Montréal
1
1
0
Balagovic, Martina Massachusetts Institute of Technology
1
1
0
Balibanu, Dana Utrecht University
1
1
1
Baranovic, Ivana University of Zagreb
1
1
1
Beier, Julie Mercer University
1
1
1
Bennett, Matthew University of California, Riverside
1
1
1
Bertiger, Anna Cornell University
1
1
1
Bhargava, Sandeep University of Windsor
1
1
1
Bischof, Bryan Kansas State University
1
1
1
Bogdanic, Dusko University of Oxford
1
1
0
Brav, Christopher University of Toronto
1
1
1
Brembilla, Caroline Université Paris-Sud 11
1
1
1
Bremer, Christopher Louisiana State University
1
1
1
Brunson, Cory Virginia Tech
1
1
1
Chari, Vyjayanthi University of California, Riverside
1
1
1
Charignon, Cyril Institut Elie Cartan Nancy
1
1
0
Chen, Hongjia York University
1
1
1
Chen, Xueqing University of Wisconsin-Whitewater
1
1
1
Chenal, Julien Institut Elie Cartan Nancy
1
1
0
Christodoulopoulou, Konstantina University of California, Riverside
1
1
1
Colarusso, Mark University of Notre Dame
1
1
1
Cooney, Nicholas University of Oxford
1
1
1
Cramer, Tim Yale University
1
1
1
Crisp, Andrew University of Sydney
1
1
1
Denton, Tom University of California, Davis
1
1
1
Dinar, Yassir The Abdus Salam International Centre for Theoretical Physics (ICTP)
1
1
1
Dodd, Christopher Massachusetts Institute of Technology
1
1
1
Dolbin, RJ University of California, Riverside
1
1
0
Dunlap, Thomas Northwestern University
1
1
1
Early, Nicholas Louisiana State University
1
1
1
Ehrig, Michael University of Cologne
1
1
1
El-Chaar, Caroline University of Ottawa
1
1
1
Elias, Benjamin Columbia University
1
1
1
Ellis, Alexander Columbia University
1
1
1
Eshmatov, Farkhod University of Michigan
0
0
1
Fontaine, Bruce University of Toronto
1
1
1
Fourier, Ghislain Universität zu Köln
1
1
1
Funk-Neubauer, Darren Colorado State University-Pueblo
1
1
1
Gautam, Sachin Northeastern University
1
1
1
Ginzburg, Victor University of Chicago
1
1
1
Grabowski, Jan University of Oxford
0
0
1
Grant, Joseph University of Bristol
1
1
0
Greenstein, Jacob University of California, Riverside
1
1
1
Guay, Nicolas University of Alberta
0
0
1
Gunningham, Sam Northwestern University
1
1
1
Haifeng, Lian Xiamen University
1
1
0
Henrich, Thilo Bonn University
1
1
0
Hivert, Pascal Université de Versailles-Saint-Quentin
1
1
0
Hoffnung, Alexander University of California, Riverside
1
1
0
Ip, Ivan Yale University
1
1
1
Janssens, Bas University of Utrecht
1
1
1
Jayne, Rebecca North Carolina State University
1
1
0
Jenkins, Evan University of Chicago
1
1
1
Jerkovic, Miroslav University of Zagreb
1
1
1
Jing, Naihuan North Carolina State University
0
0
1
Jones, Brant University of California, Davis
1
1
0
Jordan, David Massachusetts Institute of Technology
1
0
0
Jung, Ji Hye Seoul National University
1
1
0
Jung, Seung-Jo Seoul National University
1
1
0
Kalck, Martin University of Bonn
1
1
0
Kamnitzer, Joel University of Toronto
1
0
1
Kang, Seok-Jin Seoul National University
1
1
1
Kato, Syo Kyoto University
1
1
0
Katz, Adam University of California, Riverside
0
0
1
Klostermann, Inka Universität zu Köln
1
1
1
Krepski, Derek University of Toronto
1
1
0
Kwon, Jae-Hoon Korea Institute for Advanced Study
0
0
1
Ladouceur, Jonathan Carleton University
1
1
1
Lau, Michael University of Windsor
1
1
1
Lauda, Aaron Columbia University
1
1
1
Le, Ian Northwestern University
1
1
0
Lee, Inha Seoul National University
1
1
1
Lefebvre, Jerome University of British Columbia
1
1
1
Li, Huilan Drexel University
1
1
1
Li, Songhao University of Toronto
0
0
0
Licata, Anthony Yale University
0
0
1
Lin, Qian Massachusetts Institute of Technology
1
1
1
Magyar, Peter Michigan State University
1
1
1
Malkin, Anton University of Illinois at Urbana-Champaign
1
1
1
Manning, Nathaniael University of California, Riverside
1
1
1
Martirosyan, Lilit University of California, Berkeley
1
1
1
Mazin, Mikhail University of Toronto
1
1
0
McDonald, Daniel Carleton University
1
1
1
McGraw, Jason Memorial University of Newfoundland
1
1
1
Meinardi, Vanesa Universidad Nacional de Córdoba
1
1
1
Meng, Matthias Universität zu Köln
1
1
1
Mirkovic, Ivan University of Massachusetts Amherst
1
1
1
Misra, Kailash North Carolina State University
1
1
1
Montarani, Silvia University of Toronto
1
1
1
Morgan, Stephen University of Toronto
1
1
1
Morier-Genoud, Sophie Universite Paris 7
1
1
1
Mukhin, Eugene IUPUI
1
1
1
Muller, Gregory Cornell University
1
1
0
Muthiah, Dinakar Brown University
1
1
1
Nakajima, Hiraku Kyoto University
0
0
1
Naoi, Katsuyuki University of Tokyo
1
1
1
Neher, Erhard University of Ottawa
1
1
1
Nguyen, An Hoa Universitaet zu Koeln
1
1
1
Oh, Se-Jin Seoul National University
1
1
1
Oh, Young-Tak Sogang university
0
0
1
Pal, Tanusree Harish-Candra Research Institute
1
1
1
Paniello, Irene Public University of Navarre
1
1
0
Park, Euiyong Seoul National University
1
1
1
Peng, Yung-Ning University of Virginia
1
1
1
Plamondon, Pierre-Guy Université Paris 7
1
1
1
Pouchin, Guillaume Université Paris 6
1
1
1
Rajchgot, Jenna Cornell University
1
1
0
Reich, Ryan Harvard University
1
1
1
Ridenour, Timothy University of California, Riverside
1
1
1
Sadanand, Chandrika University of Toronto
1
1
1
Salmasian, Hadi University of Windsor
1
1
1
Sanchez Ortega, Juana Universidad de Malaga
1
1
1
Savage, Alistair University of Ottawa
1
1
1
Schiffmann, Olivier ENS-Paris
1
1
1
Schilling, Anne University of California, Davis
0
0
1
Senesi, Prasad University of Ottawa
0
0
0
Shalile, Armin University of Oxford
1
1
0
Shan, Jianyun University of Illinois at Urbana-Champaign
1
1
1
Shimizu, Kenichi University of Tsukuba
1
1
1
Skirvin, Michael Northwestern University
1
1
1
Slofstra, William University of California, Berkeley
1
1
0
Suh, Uhi Rinn Massachusetts Institute of Technology
1
1
0
Sun, Jie University of Alberta
1
1
0
Sutar, Kavita Northeastern University
1
1
0
Thind, Jaimal State University of New York - Stony Brook
1
1
1
Thiyagarajan, Saravanan University of Chicago
1
1
1
Tocon, Maribel Universidad de Cordoba
0
0
1
Trupcevic, Gordon University of Zagreb
1
1
1
Tsanov, Valdemar Queen's University
1
1
1
Urick, Jim University of Oregon
1
1
0
Varagnolo, Michela Universite Cergy-Pontoise
1
1
1
Vasserot, Eric Université Paris 7 - Denis Diderot
1
1
1
Vilonen, Kari Northwestern University
0
0
1
Walia, Rajeev University of California, Riverside
1
1
0
Walker, Christopher UC Riverside
1
1
0
Wan, Jinkui University of Virginia
1
1
1
Wang, Qiang University of California, Davis
1
1
1
Wang, Weiqiang University of Virginia
0
1
1
Weekes, Alex Carleton University
1
1
1
Welte, Angelika University of Ottawa
0
0
0
Wilson, Evan North Carolina State University
1
1
0
Yamane, Hiroyuki Graduate School of Information Science and Technology, Osaka University
0
0
1
Yoo, Hwanchul Massachusetts Institute of Technology
1
1
0
Yun, Taedong Massachusetts Institute of Technology
1
1
0
Zhang, Lucy Liuxuan University of Toronto
1
0
0
Zhao, Lei University of Virginia
1
1
1

Mailing List and Further Information

For further information or to be added to the mailing list for updates regarding this summer school and conference, please contact Erhard Neher (neher(at)uottawa.ca) or Alistair Savage (alistair.savage(at)uottawa.ca).

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