Speaker: Sergey Galkin

Title: An explicit construction of Miura's varieties

Date: Feb 4, 2015, 16:00 - 17:30

Place: Stony Brook Algebraic Geometry Seminar, Room Math Tower P-131

In 1301.7632 Makoto Miura studied Calabi-Yau threefolds of degree 33 obtained as linear sections of a Schubert cycle in the Cayley plane. He computed the BPS numbers, and predicted the existence of ''dual'' Calabi-Yau threefolds of degree 21. We provide a uniform construction of both families in terms of linear algebra. 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.