3 problems

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Eguchi–Yang and Dubrovin's Toda conjecture for the Gromov–Witten theory of the projective line
Let the Gromov–Witten theory of the projective line mean the generating theory of Gromov–Witten invariants of $\mathbf P^1$ , and let the Toda equation denote the integrable hierarc…
Conjectureopengromov-witten-theory integrable-systems projective-linesarXiv posted 2 days ago
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The newness conjecture for the maximum scattered linear set $\mathcal{L}$
Let $q$ be a prime power, and let $\mathcal{L}$ denote the linear set constructed in the paper in $\operatorname{PG}(1,q^6)$ . A linear set is maximum scattered if it is scattered a…
Conjectureopenfinite-geometry linear-sets projective-linesarXiv posted 2 days ago
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Characterization of maximal partial affine spaces by compatibility classes
Characterization conjecture. The maximal elements of $S_\infty$ are exactly the compatibility classes and dual compatibility classes.
Conjectureopenchain-geometries partial-affine-spaces projective-linesarXiv posted 2 days ago

Eguchi–Yang and Dubrovin's Toda conjecture for the Gromov–Witten theory of the projective line