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.

Contact:

Ralf Schiffler, schiffler@math.uconn.edu

Cluster Algebras Seminar (primary), UConn Master Calendar

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