Dynamical filtrations and applications

GTM seminar

Speaker:Hsueh-Yung Lin (Kavli IPMU)
Title:Dynamical filtrations and applications
Date (JST):Thu, Jun 03, 2021, 15:30 – 17:00
Abstract:(Joint with T.-C. Dinh, K. Oguiso, and D.-Q. Zhang) Let X be a compact Kähler manifold and let f be an automorphism of X (or more generally, a solvable group G acting on X). Given these data, we will introduce some filtrations on the space H^{1,1}(X) of (1,1)-classes of X, which capture the trade-off between the positivity of Kähler classes and the negativity arising from (mixed) Hodge-Riemann relations. We will then explain how the fundamental properties of these filtrations lead to new upper bounds of various dynamical invariants, such as the derived length of G among others, only in terms of the dimension of X.

contact: seminar-organizer _at_ ipmu.jp


Jun 03 2021


Japan Standard Time
3:30 pm - 5:00 pm

Local Time

  • Timezone: America/New_York
  • Date: Jun 03 2021
  • Time: 2:30 am - 4:00 am

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Theoretical Physics




(IPMU) The Kavli Institute for Physics and Mathematics of the Universe at the University of Tokyo
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