Geometry and Mathematical Physics Seminar

Speaker: Ron Donagi, University of Pennsylvania

Title: Recent developments in super geometry

Abstract: String theory leads naturally to consideration of Super Riemann surfaces and their super moduli spaces. Much of the classical theory of curves and their moduli, e.g. existence of a Deligne-Mumford compactification, has natural super-analogues. But a number of new features arise, e.g. there are two distinct analogues of a marked point: Neveu-Schwarz and Ramond punctures. We will explore this analogy and emphasize some of the new features, such as non-projectedness, the super Schottky problem, and the super measure.