Colloquium: " Unirationality of the moduli spaces of polarized K3 surfaces"
Fri, February 20, 2009 2:00PM - 3:00PM
| Time: | 2:00PM - 3:00PM |
| Location: | Simons Auditorium |
| Speakers: | Shigeru Mukai, Professor Shigeru Mukai |
| Abstract: | 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. |
