2 problems

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Calaque–Căldăraru–Tu's derived blow-up L-infinity algebroid conjecture
L-infinity algebroid conjecture. There exists a minimal $L_{\infty}$ -algebroid structure on $C_{Z/X}^{\vee}$ whose Chevalley–Eilenberg algebra is equivalent to…
Conjecturesolvedderived-blow-ups derived-geometry l-infinity-algebroidsarXiv posted 2 days ago
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The smooth homotopy hypothesis for L-infinity algebroids
Higher integration conjecture. In the category of $L_\infty$ -algebroids over Lie infinity-groupoids, $\mathfrak{g}$ is Morita equivalent to $\Pi_{\infty}(\mathfrak{g})$ . More gener…
Conjectureopenhigher-groupoids homotopy-theory l-infinity-algebroidsarXiv posted 2 days ago

Calaque–Căldăraru–Tu's derived blow-up L-infinity algebroid conjecture