Rational families of instanton bundles on P^{2n+1}
Vortrag von Dr. Norbert Hoffmann
Sprecher eingeladen von: Prof. Dr. Andrew Kresch
Datum: 02.12.13 Zeit: 13.15 - 14.45 Raum: Y27H25
Instanton bundles are algebraic vector bundles of rank 2n on complex projective (2n+1)-space having a particular Chern polynomial and with certain cohomology groups vanishing. The talk is about two natural irreducible loci in the moduli space of symplectic instanton bundles. One result is that these loci are often rational. I will also present some evidence for Ottaviani's conjecture that one of the loci is an irreducible component for n > 1, and deduce that the moduli space is then reducible. This is joint work with L. Costa, R.M. Miro-Roig and A. Schmitt.