Home /  Colloquium: " Unirationality of the moduli spaces of polarized K3 surfaces"

Seminar

Colloquium: " Unirationality of the moduli spaces of polarized K3 surfaces" February 20, 2009
Parent Program: --
Location: SLMath: Eisenbud Auditorium
Speaker(s) Professor Shigeru Mukai
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

It is proved that the moduli space F_g of primitively polarized K3 surfaces S of degree 2g-2 is of general type for g >= 63 using its description as arithmetic quotient of a 19-dimensional bounded symmetric domain. Oppositely F_g is unirational for g =< 13 and g=17, 18, 20. Exceptional vector bundles and semi-exceptional ones give an explicit description of S in a certain homogeneous space or moduli space for such value of g. In this talk I will discuss this mainly in the case g=17.

No Notes/Supplements Uploaded No Video Files Uploaded