Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Grassmannian Categories Of Infinite Rank And Rings Of Countable Cohen-Macaulay Type
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
|
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 |