Seminars & Colloquia Calendar
"Affine Macdonald conjectures and special values of Felder-Varchenko functions"
Location:
Date & time: Friday, 07 April 2017 at 12:00PM -
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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. |
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