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Algebraic Graph Theory SeminarExport this event to calendar

Thursday, July 12, 2018 — 1:30 PM EDT

Title: Periodicity on Oriented Graphs by way of Transcendental Number Theory

Speaker: Sabrina Lato
Affiliation: University of Waterloo
Room: MC 6486

Abstract: Using the adjacency matrix of a graph, it is straightforward to show that perfect state transfer between two vertices at some time t implies that both vertices will be periodic at time 2t. However,  when we consider a graph where each edge is oriented, this proof fails. All is not lost, though, and by using the Gelfond-Schneider theorem, we are able to prove that perfect state transfer implies periodicity. In this talk, we will give an overview of Gelfond-Schneider Theorem and its use in studying quantum walks.

Location 
MC - Mathematics & Computer Building
6486
200 University Avenue West
Waterloo, ON N2L 3G1
Canada

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