4 problems

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Kikuta–Takahashi's categorical Gromov–Yomdin conjecture
Kikuta–Takahashi's conjecture. One has
Conjecturerefutedcategorical-dynamics derived-categories entropyarXiv posted 2 days ago
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The pseudo-Anosov equivalence conjecture
Let $\mathcal C$ be a triangulated category for which the compactification $\overline M$ is defined, and let $\beta\colon\mathcal C\to\mathcal C$ be an auto-equivalence. Call…
Conjectureopenauto-equivalences categorical-dynamics stability-conditionsarXiv posted 2 days ago
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The Gromov–Yomdin type conjecture for categorical entropy
Let $X$ be a smooth projective variety over $\a0\mathbb{C}$ , and let $\a0Phi \in \operatorname{Aut}(D^b(X))$ be an autoequivalence. Write…
Conjectureopencategorical-dynamics derived-categories k3-surfacesarXiv posted 2 days ago
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Conjecture relating categorical complexity to mass in stability conditions
Mass–complexity conjecture. Categorical complexity is related to the mass of objects with respect to a stability condition.
Conjectureopencategorical-dynamics stability-conditions triangulated-categoriesarXiv posted 2 days ago

Kikuta–Takahashi's categorical Gromov–Yomdin conjecture