CMSA Geometry and Mathematical Physics Seminar: Recent developments in super geometry

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.