3 problems

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Joyce–Song formula for motivic Milnor fibers
Joyce–Song formula. The following identities should hold:
Conjectureopenderived-categories infinity-algebras motivic-milnor-fibersarXiv posted 2 days ago
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The integral identity conjecture for motivic Milnor fibers
Let $f$ be an element of $\kappa[[x,y,z]]$ invariant under the $\kappa^{\times}$ -action of weight $(1,-1,0)$ , with $f(0,0,0)=0$ . Let $\mathfrak X$ be the formal neighborhood of…
Conjectureopendonaldson-thomas-invariants motivic-integration motivic-milnor-fibersarXiv posted 2 days ago
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The Milnor fiber–Maurer–Cartan homotopy equivalence conjecture for cyclic $L_\infty$ -algebras
Milnor fiber–Maurer–Cartan conjecture. The homotopy type $MC_{\bullet}(L)$ is equivalent to the homotopy type $\Delta({\mathfrak F}_{x})$ .
Conjectureopenhomotopy-theory l-infinity-algebras motivic-milnor-fibersarXiv posted 2 days ago

Joyce–Song formula for motivic Milnor fibers