Interdisciplinary Science Seminar

Speaker: Yinbang Lin (Tongji University)

Title: Moduli spaces of stable pairs on algebraic surfaces

Abstract: As a variant of Grothendieck’s Quot schemes, we introduce the moduli space of limit stable pairs. We show an example over a smooth projective algebraic surface where there is a virtual fundamental class. We are able to describe this class explicitly. We will also show an application towards moduli of sheaves.