| * Venue | Media Centre |
| * Speaker | Siddheswar Kundu |
| * Title | Demazure crystal structure for flagged skew tableaux and flagged reverse plane partitions (presynopsis seminar) |
| Affiliation | IMSc |
| Abstract | Given 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 email | Sankaran Viswanath @@ svis@imsc.res.in |