University of Connecticut

Events Calendar

Commutative Cluster Algebra Seminar
Title: Dynamical Systems on Chain Complexes and Canonical Minimal Resolutions
Speaker: Alex Tchernev (SUNY Albany)

Friday, November 8, 2019
3:30pm – 4:30pm

Storrs Campus
Monteith 313

We will discuss how to introduce a notion of "vector field" and its (discrete time) "flow" on any chain complex. The resulting dynamical systems theory allows to replace the chain complex with a "smaller" one of the same homotopy type. In many cases of interest this can be accomplished in an explicit, canonical, and symmetry-preserving manner. We will see how this can be used to construct minimal free resolutions of monomial ideals and of toric rings.


Ralf Schiffler,

Cluster Algebras Seminar (primary), UConn Master Calendar

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