6 problems

Let $X$ be a space and let $n$ be an integer. Consider fully extended, degree $-n$, 2-dimensional supersymmetric field theories over $X$, modulo concordance. Segal–Stolz–Teichner c…

Let $\mathrm{IP}^d$ be the degree-$d$ cohomology theory associated with the invertible-phase $\Omega$-spectrum, and let … be the top Chern–Dold character. Integral-lift conjecture.…

Let $G=\{G_d,s_d,\rho_d\}_{d\in\mathbb{Z}_{\geq 0}}$ be a tangential structure, and let $I\mathbb{C}^{\times}$ denote the Brown–Comenetz dual of the sphere. Write $I\Omega^G$ for t…

Generalized-cohomology conjecture. The spaces $\Theta_d$ can be chosen to satisfy

The paper considers $2|1$-dimensional Euclidean field theories, whose partition functions are modular functions, and writes $2|1\text{-}\operatorname{EFT}^n_{loc}[X]$ for the degre…

Twisted Morava theory differential conjecture. The cohomology class $W_7+[H_7]$ corresponds to a differential in twisted Morava $K$-theory and twisted Morava $E$-theory, where…