Seminars & Colloquia Calendar
"Affine Macdonald conjectures and special values of Felder-Varchenko functions"
Location:
Date & time: Friday, 07 April 2017 at 12:00PM -
|
Yi Sun, Columbia University |
"Affine Macdonald conjectures and special values of Felder-Varchenko functions" |
Time: 12:00 PM |
Location: Hill 705 |
Abstract: I will explain how to refine the statement of the denominator and evaluation conjectures for affine Macdonald polynomials proposed by Etingof-Kirillov Jr. and to prove the first non-trivial cases of these conjectures. Our method applies recent work of the speaker to relate these conjectures for U_q(sl_2 hat) to evaluations of certain theta hypergeometric integrals defined by Felder-Varchenko. We then evaluate the resulting integrals, which may be of independent interest, by well-chosen applications of the elliptic beta integral of Spiridonov.
These results are joint work with E. Rains and A. Varchenko. |
Charles Weibel Organizer's Page
Brooke Logan
Wujun Zhang Organizer's webpage
P. Gupta, X.Huang and J. Song Organizer's webpage
Swastik Kopparty, Sepehr Assadi Seminar webpage
Jeffry Kahn, Bhargav Narayanan, Jinyoung Park Organizer's webpage
Yonah Biers-Ariel, Mingjia Yang, and Doron Zeilberger --> homepage
Paul Feehan, Manousos Maridakis, Natasa Sesum Organizer's webpage
Lev Borisov, Emanuel Diaconescu, Angela Gibney, Nicolas Tarasca, and Chris Woodward Organizer's webpage
Jason Saied Seminar webpage
Brian Pinsky, Rashmika Goswami website
Corrine Yap Organizer's webpage
Edna Jones Organizer's webpage
Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum
Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
Simon Thomas website
Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Haim Brezis
Brooke Ogrodnik website
Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Claire Burrin seminar website
Stephen D. Miller
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Yael Davidov Seminar webpage
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Ebru Toprak, Organizer
Organizer: Luochen Zhao
James Holland; Organizer website
- Show events from all categories
Special Note to All Travelers
Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.
Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.