Moduli spaces and moduli spaces for lattice polarized K3 surfaces


Jie Zhou

13:30:00 - 15:00:00

R202 , Astronomy and Mathematics Building

In this talk I shall discuss the global properties of the moduli spaces of lattice polarized K3 surfaces. I shall start with an introductory example of elliptic curve families and explain why studying the global properties of moduli spaces is interesting and important. Then I will outline the main results on various lattice polarized K3s. After a heuristic explanation of these results, I will give some examples and sketch the proofs.

References: (1) Mirror symmetry for lattice polarized K3 surfaces by Igor V. Dolgachev (2) Huybrechts lectures on K3 surfaces by James Smith