Robert Guralnick

Abstract:    Let X be the generic Riemann surface of genus g. If g > 6, Zariski proved that there is no solvable map from X to the Riemann sphere (i.e. a map with solvable monodromy group). We will discuss several generalizations and extensions of this result and some related open questions. In particular, there is a much more severe restriction on the possible monodromy groups than suggested by Zariski. Some of this is joint work with John Shareshian.

Here are some directions to Northeastern University. Lake Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street.