# Seminars & Events for Algebraic Geometry Seminar

##### Dynamical degrees

Let f be a birational transformation of the projective plane. The degree deg(f) is the degree of the image of a generic line by f. The dynamical degree of f captures the exponential growth rate of the sequence deg(f^n), where f^n denotes the n-th iterate of f. The structure of the set of dynamical degrees of all birational transformations of the plane is quite interesting ; for instance, it is a well ordered subset of famous algebraic integers, namely Salem and Pisot numbers . (this is joint work with Jérémy Blanc)

##### Birational geometry of moduli of stable rational curves

I will report on joint work with Castravet on birational geometry of moduli of stable rational curves with n punctures. In particular, we show that it is not a Mori Dream Space when n is at least 134, answering a question of Hu and Keel.

##### Inversion of adjunction for rational and Du Bois singularities

**Please note special day, time and location. ** This is joint work with Karl Schwede. We prove that Du Bois singularities are invariant under small deformation and that the relationship of the notions of rational and Du Bois singularities resembles that of canonical and log canonical varieties. In particular if a member of a family has Du Bois singularities, then the total space of the family has rational singularities near the given fiber.** **