AbstractSupergeometry 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 holomorp...
Abstract:The tropical methods have already been used to study the moduli theory of algebraic curves during the past decade. In this talk, I will first discuss about the tropicalization of a smooth pointed Riemann surface via its (hyperbolic) pair of pants decomposition, and then about how to compactify the moduli space of tropicalizations in a geometrically meaningful way