Cubics and Hyperkaehlers

Algebraic Geometry Seminar

Radu Laza (Stony Brook U)

Friday, December 8, 2017 -
3:15pm to 4:15pm
Location: 
119 Physics

The cubic hypersurfaces have always played an outsized role in Algebraic Geometry, for instance in connection to rationality questions. In this talk, I will discuss the relationship between cubic fourfolds and Hypekaehler (HK) manifolds (especially the exceptional example OG10). I will continue by exploring some related questions regarding degenerations of HKs and the topology of HKs.         This is joint work with G. Sacca and C. Voisin (parts of it also with J. Kollár and K. Hulek respectively).

Last updated: 2017/12/15 - 4:21am