talk by A. Kuznetsov

[Ugo Bruzzo]

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SISSA GEOMETRY SEMINARS
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Prof Alexander Kuznetsov (Steklov Mathematical Institute, Moscow)
will give a talk on 

Kuchle fivefolds of type c5

on Friday, July 29th, at 2:30 pm in room 136, SISSA building A.

Abstract: A Kuchle fivefold of type c5 is a subvariety of the Grassmannian Gr(3,7) parameterizing
subspaces isotropic for a given 2-form and annihilated by a given 4-form on a 7-dimensional space.
It is expected that general hyperplane sections of these fivefolds (Kuchle fourfolds of type c5)
are analogous to cubic fourfolds in many ways --- they have a rich birational structure, their
derived categories contain noncommutative K3 categories, and some moduli spaces of sheaves on
them are hyperkahler varieties. In the talk I will describe a geometric description of these
fivefolds, relating them to hyperplane sections of Lagrangian Grassmannian LGr(3,6) and as
a consequence will show that the integral Chow motive of these varieties is Lefschetz.

U. Bruzzo