8 problems

Cohomological-field-theory deformation conjecture. The non-degenerate part of the cohomological field theory described by $f$ is the deformation of the Frobenius algebra of the inv…

Sector correspondence conjecture. The Neveu–Schwarz sectors are in one-to-one correspondence with the one-dimensional twisted sectors, while the Ramond sectors are in one-to-one co…

Gaiotto's conjecture. The number $I(W)$ is strictly positive for all $W$, or equivalently, nonzero for all $W$. This is the $N=0$ case of part (ii) of the preceding conjecture, so…

Let $V=\mathbb C[z_1,\dots,z_n]$ be filtered by polynomial degree, with $F_NV=\mathbb C[z_1,\dots,z_n]_{\le N}$. Let $W\in S^d\mathbb C^{n*}$ be a homogeneous polynomial of degree…

Let $(W,G)$ be an admissible Landau–Ginzburg pair, where $W$ is an invertible polynomial with at most two variables and $G$ is an admissible group. Semisimplicity conjecture. The F…

Let $(W,\langle J\rangle)$ be a Landau–Ginzburg pair, where $W$ is an invertible, nondegenerate quasihomogeneous polynomial with two variables and $\langle J\rangle$ is a minimal a…

Kontsevich–Seidel folklore conjecture. The critical values of the mirror Landau–Ginzburg superpotential on $X^\vee$ are the eigenvalues of quantum multiplication by the first Chern…

LG mirror symmetry conjecture. Up to a change of variables, the generating function of the FJRW theory at all genera for $(W,G_W)$ can be identified with the generating function of…