DMS Colloquium: Dr. Tianran Chen (AU-AUM joint math colloquium)

Speaker: Dr. Tianran Chen, AUM

Title: Algebraic aspects of network induced systems of nonlinear equations

Abstract: Networks, or graphs, can represent a great variety of systems in the real world including neural networks, power grid, the Internet, and our social networks. Mathematical models for such systems naturally reflect the graph theoretical information of the underlying network. This talk explores some common themes in such models from the point of view of systems of nonlinear equations. In particular, we will discuss recent results from the root counting problem for the algebraic Kuramoto equations.