Organized by: 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. There is also a workshop associated with this event: SuperGeometry and SuperModuli: March 27-31, 2023
Schedule of Program Talks:
*All talks will be held in room 313 unless otherwise noted
| DATE and TIME | TITLE | SPEAKER | ABSTRACT |
|---|---|---|---|
| Mon 4/3 at 10:30am | Mini-course on moduli of SUSY curves I | Alexander Polishchuk | |
| Tues 4/4 at 1:30pm | Universal de Rham/Spencer double complex on a supermanifold | Sergio Cacciatori | |
| Wed 4/5 at 10:30am | Mini-course on moduli of SUSY curves II | Alexander Polishchuk | |
| Thurs 4/6 at 1:30pm | Towards super Teichmuller spin Osp(1|2) TQFT | Nezhla Aghaei | Abstract |
| Fri 4/7 at 10:30am | Mini-course on moduli of SUSY curves III | Alexander Polishchuk | |
| Tues 4/11 at 10:30am | Supergravity and supergeometry I | Pietro Antonio Grassi | |
| Wed 4/12 at 10:30am | Supergravity and supergeometry II | Pietro Antonio Grassi | |
| Thurs 4/13 at 1:30pm | SUSY operads | Enno Kessler | |
| Fri 4/14 at 1:30pm | Compactification of moduli of SUSY curves | Yehao Zhou | |
| Mon 4/17 at 10:30am | CS forms: a consistent formalism for integrals on complex supermanifolds | Dmitry Vaintrob | |
| Wed 4/19 at 10:30am | Compactification of moduli of SUSY curves – details of the construction | Yehao Zhou | |
| Mon 4/24 at 10:30am | The supermoduli space M_{0,0,n} | Alexander Voronov | |
| Wed 4/26 at 10:30am | Volumes of moduli spaces of super hyperbolic surfaces with Ramond punctures. | Paul Norbury | |
| Mon 5/1 at 10:30am | Microformal morphisms of supermanifolds and homotopy algebras | Theodore Voronov | |
| Tues 5/2 at 10:30am | Log geometry and Log orbifold compactification of the space of superconformal curves | Dmitry Vaintrob | |
| Wed 5/3 at 10:30am | Classical Cohomological Field Theory | Shuhan Jiang | |
| Wed 5/3 at 1:30pm in room 102 | Microformal morphisms of supermanifolds and homotopy algebras, part II | Theodore Voronov | |
| Thurs 5/4 at 10:30am | Super Pluecker map – towards super cluster algebras | Ekaterina Shemyakova |