## Student Geometry/Topology

•  Zhe Zhang
•  A construction of the Deligne-Mumford orbifold
•  02/20/2019
•  4:10 PM - 5:00 PM
•  C304 Wells Hall

Isomorphism classes $M_{g,n}$ of stable nodal Riemann surfaces of arithmetic genus g with n marked points. A marked nodal Riemann surface is stable if and only if its isomorphism group is finite. A natural construction based on the existence of universal unfoldings endows the Deligne-Mumford moduli space with an orbifold structure. Here we use the methods of differential geometry rather than algebraic geometry.

## Contact

Department of Mathematics
Michigan State University