| * Venue | Media Centre |
| * Speaker | TV Ratheesh |
| * Title | Monomial expansions of q-Whittaker polynomials |
| Affiliation | IMSc |
| Abstract | Pre-synopsis seminar (hybrid) -------------------------------- Join Zoom Meeting zoom.us/j/99060463719 Meeting ID: 990 6046 3719 Passcode: 511673 --------------------------------------------- We consider the monomial expansion of the $q$-Whittaker polynomials given by the fermionic formula and via the {\em inv} and {\em quinv} statistics. We construct bijections between the parametrizing sets of these three models which preserve the $x$- and $q$-weights, and which are compatible with natural projection and branching maps. We apply this to the limit construction of local Weyl modules and obtain a new character formula for the basic representation of $\widehat{\mathfrak{sl}_n}$. |
| * Announcement? | None |
| * Refreshments? | None |
| * Honorarium? | None |
| Special Arrangements? | None |
| * Host name and email | Sankaran Viswanath @@ svis@imsc.res.in |