Frobenius quotients, inflation categories and weighted projective lines
Xiao-Wu Chen (University of Science and Technology of China, Hefei, China)
| Wed Mar 25, 13:00-14:00 (2 weeks from now) | |
Abstract: By the work of Kussin, Lenzing and Meltzer, the category of vector bundles on a certain weighted projective line is closely related to the graded submodule problem, studied by Ringel-Schmidmeier. However, the connection is quite mysterious. We construct an explicit functor, which yields Kussin-Lenzing-Meltzer’s stable equivalence. Inspired by Demonet-Iyama's work, we introduce a general notion of Frobenius quotients. We use multifold matrix factorizations in the proof. This is joint with Qiang Dong and Shiquan Ruan.
mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry
Audience: researchers in the topic
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