4 problems

Let $G$ be a compact connected Lie group acting in a Hamiltonian fashion on a $2n$-dimensional compact symplectic manifold $M$, with moment map $\mu$ to the dual of the Lie algebra…

Subdivision conjecture. The moment polyhedron $\Phi_T(G/B)$ has a locally finite subdivision into Bruhat interval polytopes

A moment polytope is a polytope associated with a representation-theoretic action, and membership asks whether a specified point lies in that polytope. Polynomial-time membership c…

Let $A$ be an admissible $2\times n$ weight matrix homotopy equivalent to a matrix corresponding to a centered $(2k+1)$-gon with multiplicities, where $k\geq 1$, and let $X_A$ be t…