Sergio Cacciatori (Università degli studi dell’Insubria),
Samuel Grushevsky (SCGP),
Alexander Polishchuk (University of Oregon)
A supermanifold is the generalization of a usual manifold when some of the coordinates are even variables, and some are odd.
The mathematical foundations of supergeometry were established in the 1970s and 1980s. While much of the motivation for this came from supersymmetric theories in physics, the mathematical study became possible largely due to the development of the language of algebraic and complex geometry in the preceding decades. For the following 30 years or so, the progress of supergeometry was somewhat modest, although there were some substantial developments in other mathematical aspects of supersymmetry (eg. Lie superalgebras).
Recently, the interest in supergeometry has revived, from physicists reexamining the foundations of superstring scattering, from the physical interest in mirror symmetry for supermanifols, and from mathematicians finally nearing a rigorous construction and study of the moduli of supercurves, and exploring related foundational questions in algebraic supergeometry. The program will bring together mathematicians and physicists who have been recently working on supergeometry, aiming to create a cohesive community of researchers and to let the physical intuition and mathematical rigour benefit from each other.
This workshop is also associated with the program SuperGeometry and SuperModuli: March 27-May 19, 2023