Abstract Michele Pernice

Michele Pernice will speak on

Results about the Chow ring of moduli of stable curves of genus
three

Abstract: In this talk, we will discuss some results concerning the Chow
ring of Mbar_3, the moduli stack of stable curves of genus three. In
particular, we will describe the main new idea, which consists of
enlarging the moduli stack of stable curves by adding curves with worse
singularities, like cusps and tacnodes. This will make the geometry of
the stack uglier but in turn its Chow ring will be easier to compute.
The Chow ring of Mbar_3 can then be recovered by excising the locus of
non-stable curves.