Jagadish Pine:A universal moduli space of stable parabolic vector bundles over the marked stable curves

Abstract. In this talk we will discuss a construction of moduli space of  stable parabolic vector bundles $\overline{\mathfrak{U}}_{_{g, n, r}}$   over $\overline{M}_{_{g, n}}$.  The objects that appear over the  boundary of  $\overline{M}_{_{g, n}}$ i.e., over singular curves will  remain  vector bundles.  We will also discuss about the singularity of  the total space and the fiber over a marked stable curve which are  "nicer" than their torsion free counterpart.