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

Zoom

Chicago, IL

Calendar

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.

Rankeya Datta

Jul 8, 2020

Jul 8, 2020