Speaker: Sergey Galkin

Title: An explicit construction of Miura's varieties

Date: Feb 20, 2014, 17:00 - 18:30

Place: Tokyo University, Graduate School for Mathematical Sciences, Komaba campus

Abstract:

In 1301.7632 Makoto Miura studied Calabi-Yau threefolds obtained as a linear sections of a Schubert cycle in the Cayley plane. He computed the BPS numbers, and conjectured that these threefolds should have non-trivial Fourier-Mukai partners. We'll give an explicit construction of the threefolds predicted by Miura. In fact, both families fit into series that "extend" Grassmannian-Pfaffian duality: varieties that parametrise pairs of a skew-symmetric form and a vector in its kernel. This is work in progress with Alexander Kuznetsov and Michael Movshev.