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Quiver Algebras represented by Matrix Algebras and Things to Make and Do With Persistent Homology

Graduate Student Colloquium

Quiver Algebras represented by Matrix Algebras and Things to Make and Do With Persistent Homology
Series: Graduate Student Colloquium
Location: Math 501
Presenter: Jonah Garner and Karaline Petty
The algebra of a quiver Q is the algebra generated by formal
sums of paths in the quiver, with the multiplication of paths being
given by concatenation. When a quiver does not have multiple paths
from one point to another there is an easy way of representing
elements of the algebra as matrices of a certain form. I will also
show a method for how matrices can be used to represent the algebras
of more complex quivers.
 
 
In this talk, we’ll introduce persistent homology, one of the primary tools in topological data analysis, and see how this tool can be applied to a variety of problems—from detecting malaria to hearing black holes.