AbstractThe 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 ...
AbstractIt has long been conjectured that the classical Lorenz attractor supports a unique measure of maximal entropy. In this talk, we will give a positive answer to this conjecture and its higher-dimensional counterpart by considering the uniqueness of equilibrium states for H\"older continuous functions on a sectional-hyperbolic attractor. we will prove that on every compact manifold with di...