Geometry Colloquium

Seminar information archive ~03/04Next seminarFuture seminars 03/05~

Date, time & place Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.)

2014/04/10

10:00-11:30   Room #122 (Graduate School of Math. Sci. Bldg.)
Kotaro Kawai ( University of Tokyo)
Deformations of homogeneous Cayley cone submanifolds (JAPANESE)
[ Abstract ]
A Cayley submanifold is a minimal submanifold in a Spin(7)-manifold, and is a special class of calibrated submanifolds introduced by Harvey and Lawson. The deformation of calibrated submanifolds is first studied by Mclean. He studied the compact case, and many people try to generalize it to noncompact cases (conical case, asymptotically conical case etc.). In general, the moduli space of deformations of a Cayley cone is known not to be smooth. In this talk, we focus on the homogeneous Cayley cones in R^8, and study their deformation spaces explicitly.