University of Birmingham > Talks@bham > Algebra Seminar > Grassmannian cluster structures and line singularities

## Grassmannian cluster structures and line singularitiesAdd to your list(s) Download to your calendar using vCal - Eleonore Faber (University of Leeds)
- Wednesday 16 November 2022, 15:00-16:00
- Lecture Theatre C, Watson Building.
If you have a question about this talk, please contact Matthew Westaway. This talk is about a categorification of the coordinate rings of Grassmannians of infinite rank in terms of graded maximal Cohen-Macaulay modules over the commutative ring ℂ[ k=2, Spec(ℂ[x,y]/(x^{2})) is a type A_{∞}-curve singularity and the ungraded version of our category has been studied by Buchweitz, Greuel, and Schreyer in the 1980s. We show that this Frobenius category has infinite type A cluster combinatorics, in particular, that it has cluster-tilting subcategories modelled by certain triangulations of the (completed) infinity-gon. We use the Frobenius structure to extend this further to consider maximal almost rigid subcategories, and show that these subcategories and their mutations exhibit the combinatorics of the completed infinity-gon. This is joint work with Jenny August, Man-Wai Cheung, Sira Gratz, and Sibylle Schroll.This talk is part of the Algebra Seminar series. ## This talk is included in these lists:Note that ex-directory lists are not shown. |
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