Abstract

Supergeometry is an extension of geometry to include dimensions with anti-commutingcoordinates as motivated by high energy physics. In this talk, l wil give an introduction to themathematical treatment of supergeometry: supercommutative rings, supermanifolds, mapsbetween supermanifolds, their tangent bundles and split models.l will also introduce superRiemann surfaces which are holomorphic supermanifolds of dimension 1l1 with an additionalstructure.