Event time:
Thursday, September 10, 2015 - 12:30pm to 1:30pm
Location:
431 DL
Speaker:
Asher Auel
Speaker affiliation:
Yale University
Event description:
Certain cubic fourfolds have K3 surfaces associated to them via Hodge theory. I will discuss how the Brill-Noether properties of special divisors on curves in those associated K3 surfaces can be reflected in the geometry of the cubic fourfolds. For example, cubic fourfolds containing two disjoint planes have an associated K3 surface of degree 14 that is Brill-Noether special in the sense of Lazarsfeld and Mukai. One application is to the rationality problem for cubic fourfolds.
This talk is supported by the Mrs. Hepsa Ely Silliman Memorial Fund