6 problems

It was shown that a 2-shifted Poisson structure $\pi$ on a semi-free commutative differential graded algebra $A$ induces an infinitesimal 2-braiding $t^\pi$ on the homotopy 2-categ…

Equivalence conjecture. Shifted Poisson structures are equivalent to formal Lagrangian thickenings.

Let $L$ be a shifted Poisson stack. A symplectic realization of $L$ is an $n$-shifted Lagrangian morphism $L\to X$ lifting the given $(n-1)$-shifted Poisson structure along the for…

Let $(X,\omega)$ be a smooth symplectic scheme. Kapranov's cyclic $L_\infty$ structure on $\mathrm{T}_X[-1]$ has a potential in…

Let $X$ be a derived Artin stack, and let $L_1\longrightarrow X$ and $L_2\longrightarrow X$ be morphisms equipped with $n$-shifted coisotropic structures. Write…

Lagrangian–Poisson correspondence conjecture. The map $f\mapsto\pi_f$ provides an equivalence between the space of $n$-shifted Lagrangian morphisms $f:X\to Y$ such that…