6 problems

Fix integers $n$ and $\kappa$ with $1\leq\kappa\leq n-1$ and $\gcd(\kappa,n)=1$. Let $a,b,c,d$ be the integers determined by the stated conditions, so that … and consider the inter…

Let $U$ and $\widehat U$ be open neighbourhoods of the zero section of $T^*S^3$ and of the fiber $\hat \beta^{-1}(I(2))$ in $P(\mu_0(y))$, respectively. Let $X$ and $W$ be the inte…

Consider the Ruijsenaars–Schneider system with $2N$ particles and the subspace in which the particles form pairs whose within-pair distance is $\eta$. The flow preserving this conf…

Let $\mathbf{x}=(x_1,\ldots,x_N)$ be the position vector of the elliptic Ruijsenaars–Schneider model, and define its wavefunction by … Let $\vec{\omega}_i$ be the $i$-th fundamenta…

Let the K-theoretic equivariant Euler characteristic of an affine Laumon space be the corresponding equivariant generating function, and let the elliptic Ruijsenaars–Schneider Hami…

Let the $N$-body Ruijsenaars–Schneider model be an integrable many-body system with a hierarchy of Hamiltonian structures, and let magnon-type solutions of string theory be the tar…