Friday January 31, 2020 2:30 PM  3:30 PM Math Tower 5127
 Nathan Chen, Stony Brook University
Introduction to moduli of curvesThe goal of this talk is to explain the definition of a moduli functor. We will explore several examples which are closely related to the moduli space of curves.

Friday February 07, 2020 2:30 PM  3:30 PM Math Tower 5127
 Lisa Marquand, Stony Brook University
Projectivity of Hilbert schemes and their tangent spaceWe will give a sketch of the proof of projectivity of Hilbert schemes and describe their tangent space.

Friday February 14, 2020 2:30 PM  3:30 PM Math Tower 5127
 Mads Villadsen, Stony Brook University
Hilbert schemes  pathologies and dimension countsWe will explore an example of a Hilbert scheme with a component that is everywhere nonreduced and describe some dimension counts.

Friday February 21, 2020 2:30 PM  3:30 PM Math Tower 5127
 Siqing Zhang, Stony Brook University
A moduli space that is not fineWe will revisit the moduli space of elliptic curves and introduce two spaces: the moduli space of smooth curves of genus g with n marked points and the degree d relative Picard group over the total space of M_g.

