Growth and periodicity in representation theory
 
 
Description:  We consider finite-dimensional modules of finite-dimensional algebras. Any such module has a (unique) minimal projective resolution, that is, a resolution where terms are direct summands of free modules, as small as possible. One would like to know its rate of growth, known as the complexity of a module. For some algebras, all modules have finite projective resolution. But very often resolutions do not terminate. Minimal projective resolutions can be periodic, or just bounded, they can have polynomial growth or even exponential growth. We give examples, discuss methods of how to find the growth, and also explain some classification results.
Date:  2014-05-07
Start Time:   14:30
Speaker:  Karin Erdmann (Univ. Oxford, UK)
Institution:  University of Oxford
Place:  Room 5.5 Dmat
Research Groups: -Algebra and Combinatorics
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