On the irrationality of moduli spaces of K3 surfaces

Abstract: In this talk, we consider quantitative measures of irrationality for moduli spaces of polarized K3 surfaces of genus g. We show that, for infinitely many examples, the degree of irrationality is bounded polynomially in terms of g, so that these spaces become more irrational, but not too fast. The key insight is that the irrationality is bounded by the coefficients of a certain modular form of weight 11. This is joint work with Ignacio Barros and Kuan-Wen Lai.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: Description: Research/departmental seminar

Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.