#### Hall 123

#### Singularity category and Knorrer periodicity

#### Umesh Dubey

##### IISc, Bangalore

*Singularity category was first introduced by Orlov motivated by*

Kontsevich's

work on Homological mirror symmetry. Orlov relates singularity category to

the

category of matrix factorisations introduced by Eisenbud for hypersurface

singularities.

In this talk we will describe some basic properties of singularity

category and mention Orlov's description of the classical Knorrer

periodicity using the singularity category.

Done