Workshop on Combinatorics of Enumerative Geometry

Abstract: 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 $F_q$, and counting multiplicities of $(S_n x Gal(Q))$-representations in the cohomology of moduli spaces of smooth and stable curves.