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THE GEOMETRY (AND ALGEBRA) OF PI-INVERTIBLE SHEAVES
Mathematical Physics Seminar| Speaker: | Stephen Kwok, UCLA |
| Location: | 2112 MSB |
| Start time: | Tue, May 15 2012, 4:10PM |
Line bundles and projective spaces play a central role in classical algebraic geometry. Y.I. Manin suggested that in supergeometry, line bundles should be replaced with Pi-invertible sheaves: 1|1 bundles with an odd endomorphism whose square is -1. We discuss some new results on the projective superspaces associated to these objects, and the connections between Pi-invertible sheaves.