Nicola Pagani: On moduli of bielliptic curves

Moduli spaces of covers of curves have been of classical
and more recent interests in the field of moduli spaces. One
can investigate the geometry of these moduli spaces or, in a
different direction, study the class of those curves in M_g
that are covers of degree d of a curve of a lower genus g'
(d and g' fixed). Both the questions have been thoroughly
studied in the case when g' equals 0. In this talk, we
discuss the simplest next case: namely the case of moduli
spaces of bielliptic curves. We present our results on the
Picard group and on the Kodaira dimension of the moduli
spaces of bielliptic curves, and we discuss a geometric
construction that allows the computation (a joint work with
C.Faber) of the class of the bielliptic locus in \bar{M}_3 in
terms of boundary strata, or of other tautological classes.