Speaker:  Michael Gottstein, Marywood University
Title: Partitions and Gain Graphs
Time: 2:30 PM, Monday, September 30, 2024
Place:  Malott 206

Abstract: The Rhodes semilattice of a group is a fundamental tool used in the complexity theory of finite semigroups. In joint work with Thomas Zaslavsky, we reinterpret the Rhodes semilattice into the language of gain graphs. A gain graph is a graph with invertibly labeled edges. This reinterpretation naturally suggests several extensions of the Rhodes semilattice. I will discuss both a graphical extension and various matroidal extensions.


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