Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

John Ottem
Affiliation:

Oslo
Date:

Thu, 2018-01-18 10:30 - 12:00 The intersection of two general PGL(10)-translates of the Grassmannian Gr(2,5)

in P9 is a Calabi-Yau 3-fold X, and the intersection of the projective duals of

the two translates is another Calabi-Yau 3-fold Y. We show that X and Y provide

counterexamples to a certain ”birational” Torelli problem for Calabi-Yau 3-folds,

namely, they are deformation equivalent, derived equivalent, and have isomorphic

Hodge structures, yet they are not birational.

This is joint work with Jørgen Vold Rennemo.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/5285