Speaker: Sergey Galkin

Title: Cubics, squares and lines

Date: Jan 4, 2014, 13:15 - 14:45

Place: Workshop ``MIST: Mathematics Inspired by String Theory''; Hong Kong Geometry Colloquium, Room 502A, Academic Building N1, Chinese University of Hong Kong

There is a universal linear relation between a cubic hypersurface and two auxiliary varieties, parametrising lines and pairs of points on it. It holds in the Grothendieck ring of varieties, and by various specializations one easily derives corollaries. Some are classical, such as 27 lines on a cubic surface or Hodge structures of the variety of lines, some are new. This is a joint work with Evgeny Shinder.