UCL Colloquium Schedule
Tuesday, 4 October 2022, 45pm Location: South Wing 9 Garwood LT

Speaker: Anna Maltsev (QMUL)
Title: Spectral properties of quantum graphs
Abstract:
A quantum graph is a set of vertices and edges, like a usual (combinatorial) graph but the edges are taken to be segments of a real line equipped with a Euclidean metric, which allows us to do analysis on graphs. We study the Schrodinger equation on such graphs, with a Kirchoff condition at vertices, which means that outward derivatives at each vertex add up to 0. Quantum graphs not only arise in a multitude of realworld applications (e.g. electrical networks, roads, pipes, neurons, etc.) but also have very interesting mathematical properties. In this talk, which is based on joint work with Evans Harrell, I will discuss eigenfunction localization on quantum graphs and illustrate new connections between spectra of quantum and combinatorial graphs via a “quantum” Ihara's theorem.
Tuesday, 1 November 2022, 45pm Location: South Wing 9 Garwood LT

Speaker: Peter Topping (Warwick)
Title:
Abstract:
Tuesday, December 6 45pm Location: South Wing 9 Garwood LT

Speaker: Ian Griffiths (University of Oxford)
Title:
TBA
Abstract:
You'll find the old colloquium schedules
here.