Calabi-Yau threefolds with c_2-contractions-revisited

Abstract

The second Chern class $c_2$ plays a special role in studying Calabi-Yau threefolds. Among other things, we discuss about KSC (Kawaguchi-Silverman's Conjecture) and the finiteness problem of real forms of Calabi-Yau threefolds with $c_2$-contractions. Though nothing appears in the title and main statements, our arguments use dynamical degrees due to Dinh-Sibony and current work on slow dynamics due to Dinh-Lin-O-Zhang in essential ways.

Speaker

I am a Professor at University of Tokyo. I am studying Calabi-Yau manifolds in wider sense, mostly K3 surfaces,Calabi-Yau manifolds in the strict sense and compact hyperkaeher manifolds. Currently, I am mainy studying the existence problem of primitive automorphisms, the Kawamata-Morrison cone conjecture, and the(non-)liftability problem of automorphisms of K3 surfaces from positive characteristic to characteristic zero, from both birational geometrical view and complex dynamical view.

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https://www.u-tokyo.ac.jp/focus/en/people/k0001_00009.html