CMSA Interdisciplinary Science Seminar: Supergeometry and Super Riemann Surfaces of Genus Zero
Enno Keßler - Center of Mathematical Sciences and Applications, Harvard University
Supergeometry is a mathematical theory of geometric spaces with anti-commuting coordinates and functions which is motivated by the concept of supersymmetry from theoretical physics. I will explain the functorial approach to supermanifolds by Molotkov and Sachse. Super Riemann surfaces are an interesting supergeometric generalization of Riemann surfaces. I will present a differential geometric approach to their classification in the case of genus zero and with Neveu-Schwarz punctures.