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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
Slow volume entropy in the component of the fibered Dehn twist
Speaker
Joontae Kim   (Seoul National University )
Date
2017-01-16 10:30:00
Host
KIAS
Place
8309
Abstract
The slow volume entropy is an entropy-type invariant which measures the polynomial volume growth of submanifolds under the iterates of a diffeomorphism. For a Liouville domain whose contact boundary has a periodic Reeb flow, we consider a symplectomorphism which is called the fibered Dehn twist. We use the wrapped Floer homology to examine a lower bound for the slow volume entropy in the component of the fibered Dehn twist. With some examples, we explain why this lower bound shows the genuine symplectic phenomenon. This is ongoing work with Myeonggi Kwon and Junyoung Lee.
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