Enumerative Problems Related to Moduli Spaces of Curves and Graphs

I will survey new results on several enumerative problems related to the geometry, topology, and arithmetic of moduli spaces of smooth and stable curves. The enumerative problems include counting isomorphism classes of curves of genus g over a finite field Fq, and counting multiplicities of (SnxGal(Q))-representations in the cohomology of moduli spaces of smooth and stable curves.

Date

Affiliation

Institute for Advanced Study