# Brauer groups of singular del Pezzo surfaces

## Martin Bright (American University of Beirut)

The Brauer group of a smooth variety is a cohomological invariant which has applications to the study of rational points. Singular varieties also have Brauer groups, which can exhibit features not found on smooth varieties: for example, it is possible for elements of the Brauer group to be split by a Zariski covering. In this talk I will calculate the Brauer groups of singular del Pezzo surfaces, such as cubic surfaces with rational singularities, over an algebraically closed field. The Brauer group turns out to be closely related to the root system associated to the singularities of the surface.

Tuesday, February 25th, at 4:00pm in HBH 227

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