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SUMMARY:Entropy on K3 surfaces
DTSTART;VALUE=DATE-TIME:20230216T141500
DTEND;VALUE=DATE-TIME:20230216T160000
UID:fe7c84288df2715ff9b891eec01ce0797994d4705728fb29071d8048
CATEGORIES:Conferences - Seminars
DESCRIPTION:Giacomo Mezzedimi (Universität Bonn)\nTo any diffeomorphism o
f a manifold we can associate a real number\, called the entropy\, which m
easures how fast its iterates spread out the points of the manifold. In th
is talk we will investigate the entropy of automorphisms of complex algebr
aic surfaces\, and more specifically of K3 surfaces. I will explain how we
can obtain a classification of K3 surfaces of zero entropy\, which exhibi
t the simplest dynamics among all K3 surfaces.\nI will then discuss some a
pplications concerning the distribution of rational points on K3 surfaces
over number fields. This is joint work with Simon Brandhorst.
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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