Palace of Catalan Music (S. Adams/GETTY)
Geometry, Physics, and Representation Theory Seminar
RTG Group Seminar
Spring 2021, Northeastern
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Meeting weekly on Thursdays 2:50-3:50pm via Zoom. If you are not at Northeastern but would like to recieve announcements, join the mailing list. If you have questions or would like to speak at the seminar, please email v.blankers [at] northeastern.edu. Organizers: Peter Crooks, Iva Halacheva, Vance Blankers, Christopher Beasley, Valerio Toledano Laredo. |
Schedule
| Date | Speaker | Title |
| Jan 28 | Joshua Wen (Northeastern University) |
Towards wreath Macdonald theory
Wreath Macdonald polynomials are generalizations of Macdonald polynomials wherein the symmetric groups are replaced with their wreath products with a cyclic group of order $\ell$. They were defined by Haiman, and mirroring the usual Macdonald theory, it is not obvious that they exist. Haiman also conjectured for them a generalization of his celebrated proof of Macdonald positivity where the Hilbert scheme of points on the plane is replaced with certain cyclic Nakajima quiver varieties. This conjecture was proven by Bezrukavnikov and Finkelberg, which also implies the existence of the polynomials. Analogues of standard formulas and results of usual Macdonald theory remain to be explored. I will present an approach to the study of the wreath variants via the quantum toroidal algebra of $\mathfrak{sl}_\ell$, generalizing the fruitful interactions between the usual Macdonald theory and the quantum toroidal algebra of $\mathfrak{gl}_1$. As applications, I'll present an analogue of the norm formula and a conjectural path towards "wreath Macdonald operators" that makes contact with the spin Ruijsenaars-Schneider integrable system.
No video available at this time. Please contact the organizers or check back later!
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| Feb 4 | Martha Precup (Washington University) |
TBD
No abstract available at this time. Please contact the organizers or check back later!
No video available at this time. Please contact the organizers or check back later!
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| Feb 11 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later!
No video available at this time. Please contact the organizers or check back later!
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| Feb 18 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later!
No video available at this time. Please contact the organizers or check back later!
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| Feb 25 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later!
No video available at this time. Please contact the organizers or check back later!
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| Mar 4 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Mar 11 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Mar 18 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Mar 25 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Apr 1 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Apr 8 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Apr 15 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| Apr 22 | TBD |
TBD
No abstract available at this time. Please contact the organizers or check back later! No video available at this time. Please contact the organizers or check back later! |
| End of Semester (Seminar resumes Fall 2021) |
Previous Semesters
| Fall 2020 |
| Spring 2020 |
| Fall 2019 |
| Spring 2019 |
| Fall 2018 |
| Spring 2018 |
| Fall 2017 |
| Spring 2017 |
| Fall 2016 |
| Spring 2016 |
| Fall 2015 |
| Spring 2015 |