Abstract:
Dynamical degrees are important and difficult-to-study invariants of
birational automorphisms of projective varieties. Using Shokurov’s b-divisors,
Dang and Favre have generalized to higher dimensions the construction of
Picard–Manin space, which is very important in birational geometry of
surfaces. More precisely, they have constructed Banach spaces, on which any
birational automorphism induces bounded linear operators whose spectral radii
are equal to the dymanical degrees of the automorphism. I will discuss this
construction and its application to the study of dynamical degrees.
