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Odd Grassmannian bimodules
Algebra & Discrete Mathematics| Speaker: | Jon Brundan, University of Oregon |
| Related Webpage: | https://math.uoregon.edu/profile/brundan |
| Location: | 1147 MSB |
| Start time: | Mon, Apr 25 2022, 11:00AM |
The monoidal category of Grassmannian bimodules played a key role in Khovanov and Lauda's discovery of Kac-Moody 2-categories. It is generated by certain bimodules defined by correspondences between neighboring Grassmannians. I will explain how to define the odd/super analog of this category, in which the ring of symmetric functions underlying the construction is replaced by the non-commutative ring of odd symmetric functions as developed by Ellis, Khovanov and Lauda. We (=my coauthor A. Kleshchev and I) use it to construct derived equivalences between blocks of spin symmetric groups in the spirit of Chuang-Rouquier.