6 problems

The cylindric Schur functions are symmetric functions that generate cylindric semistandard Young tableaux and arise in the study of the quantum cohomology of Grassmannians. A skew…

Cylindric Schur functions are symmetric functions generalizing classical Schur functions, and the toric Schur polynomials are certain cylindric Schur functions. Postnikov's toric S…

Lam's conjecture. The cylindric Schur function $K_{(P,O)}(x_1,x_2,\ldots)$ is a positive linear combination of affine Schur functions, or equivalently dual $k$-Schur functions.

Let $\lambda/d/\mu$ be a cylindric skew shape, and suppose inductively that … where $c_{\nu,e}\geq 0$ and $e$ is a non-negative integer; for nonzero $s_{\nu/e/\emptyset}(x)$, requi…

Let $\lambda/d/\mu$ be a cylindric skew shape that is a subposet of $\mathfrak{C}_{k,n-k}$. For variables $x=(x_1,x_2,\ldots)$, call $s_{\lambda/d/\mu}(x)$ cylindric Schur-positive…

Let $D$ be a cylindric shape and let $\beta$ be a weight. Write $\mathrm{CSSYT}(kD,k\beta)$ for the cylindric semistandard Young tableaux of shape $kD$ and weight $k\beta$. Cylindr…