Monday, January 29 2024
14:00 - 15:00

* VenueMedia Centre
* SpeakerSiddheswar Kundu
* TitleDemazure crystal structure for flagged skew tableaux and flagged reverse plane partitions (presynopsis seminar)
AffiliationIMSc
AbstractGiven a skew shape $ \lambda / \mu $ and a flag $\Phi$, we
see that the flagged dual stable Grothendieck polynomial
$g_{\lambda/\mu}(X_\Phi)$ is a sum of key polynomials. We prove this
by showing that the set of all flagged reverse plane partitions of
shape $\lambda / \mu$ and flag $\Phi$ is a disjoint union of Demazure
crystals (up to isomorphism). We use this fact to give a tableau model
for the flagged skew Littlewood-Richardson coefficients $c_{\lambda,
\, \mu/\gamma} ^{\,
u} (\Phi)$. Finally we establish the saturation
property of these coefficients, generalizing results of Knutson-Tao
and Kushwaha-Raghavan-Viswanath.
* Announcement?None
* Refreshments?None
* Honorarium?None
Special Arrangements?None
* Host name and emailSankaran Viswanath @@ svis@imsc.res.in


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