8 problems

Let $n \geq 3$ be an odd integer and let $X \subset \mathbb{P}^{n}$ be an unramified real curve. A branch is a connected component of the real locus $X(\mathbb{R})$. Huisman's conj…

Flexibility conjecture. These types of real projective orbifolds with R-ends might be very flexible.

Let an end of a real projective orbifold be one of the four types given by Ballas, Cooper, and Leitner, and let the preceding strictness property be the property established for ge…

Let $P$ be a polyhedron with a set of vertices $\mathcal{V}$, and suppose that $P$ is weakly $\mathcal{V}$-orderable. Let $\mathcal{O}$ be a Coxeter orbifold structure on $P$ with…

Let $P$ be a polyhedron with a set of vertices $\mathcal{V}$, and suppose that $P$ is $\mathcal{V}$-orderable. Let $\mathcal{O}$ be a Coxeter orbifold structure on $P$ with a conve…

Let $FM_2(n)$ be the Fulton–MacPherson operad space, let $F_{k_i}^{\mathbb{R}}\subseteq D_{k_i}(BO(1))$ consist of projectively independent real labels, and let…

Let $D$ be the normalized determinant associated with a configuration in $\operatorname{Conf}_n(\mathbb{R}^2)$, and let $F_n^{\mathbb{R}}$ denote the space of projectively independ…

Let $s$ lines be given in the real projective plane, not all belonging to the same pencil through a fixed point. A point where three lines meet is a triple point, while a point whe…