Algebraic Geometry Seminar

Rational curves on Calabi-Yau threefolds in positive characteristic

Speaker: Gabriele di Cerbo

Location: Warren Weaver Hall 317

Date: Tuesday, January 29, 2019, 3:30 p.m.


I will show that any Calabi-Yau threefold with Picard number larger than 17 defined over an algebraically closed field of characteristic p>5 contains a rational curve. The proof is a combination of techniques coming from the minimal model program and number theory. If the ground field has characteristic zero, this result was proved by Wilson.