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FIELD Math:Topology
DATE November 30 (Tue), 2021
TIME 16:00-18:00
PLACE Online
SPEAKER Kim, Jongmyeong
HOST Choa, Dongwook
INSTITUTE IBS-CGP
TITLE [GS_M_Topo] On Gromov-Yomdin type theorems and a categorical interpretation of holomorphicity
ABSTRACT

In topological dynamics, the Gromov-Yomdin theorem states that the topological entropy of a holomorphic automorphism $f$ of a smooth projective variety is equal to the logarithm of the spectral radius of the pullback $f^*$ induced on cohomology. In order to establish a categorical analogue of the Gromov-Yomdin theorem, one first needs to find a categorical analogue of a holomorphic automorphism. In this talk, we propose a notion that categorifies and generalizes that of a holomorphic automorphism and prove that the Gromov-Yomdin type theorem holds for them. This talk is based on a joint work with Federico Barbacovi.

FILE 819441638331293230_1.pdf
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