##### Department of Mathematics,

University of California San Diego

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### Algebraic Geometry

## Marti Lahoz

#### Universite Paris Sud 11

## ACM Bundles on Cubic Hypersurfaces

##### Abstract:

In this talk, I will use Kuznetsovs description of the derived category of a smooth cubic hypersurface to give a new construction of some stable ACM bundles on cubic threefolds and cubic fourfolds containing a plane. I will also present a wall-crossing phenomenon that allows to relate the compactification of the moduli space of instantons on a cubic threefold with a moduli space of torsion sheaves a non-commutative projective plane. This is a joint work with Emanuele Macr and Paolo Stellari.

Dragos Oprea

### February 21, 2013

### 2:00 PM

### AP&M 7321

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