Jul 1 2020

Joint NW/UIC/UofC algebra and geometry online seminar: From rings of countable Cohen-Macaulay type to the infinite Grassmannian, by Eleonore Faber

July 1, 2020

3:00 PM - 3:50 PM




Chicago, IL

Eleonore Faber (University of Leeds): From rings of countable Cohen-Macaulay type to the infinite Grassmannian

By a result of Buchweitz-Greuel-Schreyer, a hypersurface is of countable
Cohen-Macaulay representation type if and only if it is isomorphic to a
singularity of type $A_{\infty}$ or $D_{\infty}$.
In this talk, we show how the category $CM(R)$ of maximal Cohen-Macaulay
modules over the coordinate ring $R$ for the $A_{\infty}$-curve gives a
categorical model for arcs in an ``$\infty$-gon''. This allows us to
construct triangulations of the $\infty$-gon, making use of a limit
construction of Jensen-King-Su's Grassmannian cluster categories.
This is joint work with J. August, M. Cheung, S. Gratz, and S. Schroll.

For more information on the online seminar, please see https://rankeya.people.uic.edu/online_seminar.html

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Rankeya Datta

Date posted

Jul 8, 2020

Date updated

Jul 8, 2020


Eleonore Faber | (University of Leeds)