Seminars

Moduli spaces and moduli spaces for lattice polarized K3 surfaces

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Jie Zhou

2013-10-25
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 http://arxiv.org/abs/alg-geom/9502005 (2) Huybrechts lectures on K3 surfaces by James Smith http://arxiv.org/abs/0705.3658