# Mathematical Sciences Research Institute

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# Seminar

Fellowship of the Ring, National Seminar: Grassmannian categories of infinite rank and rings of countable Cohen-Macaulay type August 20, 2020 (01:30 PM PDT - 03:30 PM PDT)
Parent Program: -- MSRI: Online/Virtual
Speaker(s) Eleonore Faber (University of Toronto)
Description No Description
Video

#### Grassmannian Categories Of Infinite Rank And Rings Of Countable Cohen-Macaulay Type

Abstract/Media

This talk is about a categorification of the coordinate rings of Grassmannians of infinite rank in terms of graded maximal Cohen-Macaulay modules over a hypersurface singularity. This gives an infinite rank analogue of the Grassmannian cluster categories introduced by Jensen, King, and Su. In a special case, when the hypersurface singularity is a curve of countable Cohen-Macaulay type, our category has a combinatorial model by an infinity-gon'' and we can determine triangulations of this infinity-gon.

I will first give an introduction to Grassmannian cluster algebras and categories, and then explain our limit constructions. This is joint work with Jenny August, Man-Wai Cheung, Sira Gratz, and Sibylle Schroll.

 Notes 6.66 MB application/pdf

#### Grassmannian Categories Of Infinite Rank And Rings Of Countable Cohen-Macaulay Type

 H.264 Video 25108_28570_8445_Grassmannian_Categories_of_Infinite_Rank_and_Rings_of_Countable_Cohen-Macaulay_Type.mp4