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DG-categorical dynamics A. I. Efimov Steklov Mathematical Institute of the Russian Academy of Sciences |
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Abstract: We will discuss the notion of entropy in the following contexts: holomorphic, birational and DG-categorical. We will be mostly interested in the algebraicity phenomenon. In the case of a compact Kähler manifold the algebraicity follows from the Gromov–Friedland theorem. In the birational and DG-categorical case the question is still open. We will also discuss the relation with dynamical Mordell–Lang conjecture. |