Speaker
Description
A family of Calabi–Yau varieties (or, more generally, log Calabi–Yau pairs) f:X->Y naturally induces a moduli divisor M, measuring the variation of the family f. Based on earlier works of the Japanese school, Prokhorov and Shokurov conjectured that M is semiample. In this talk, we discuss a proof of this conjecture and, time permitting, some immediate applications in birational geometry. In this talk, we will assume the inputs from o-minimality and Hodge theory, discussed in the first talk by Mauri. In particular, we will focus on the birational methods involved: study of log canonical centers, P1-linking, and pluricanonical representations.
This is the second of a series of two talks on the paper “Baily–Borel compactifications of period images and the b-semiampleness conjecture”, a joint work with Benjamin Bakker, Mirko Mauri, and Jacob Tsimerman.
