Mathematics Colloquia and Seminars
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Particles and Spectra: Analysis, Algebra, and TopologyGGAM Colloquium
|Speaker: ||Bruno Nachtergaele, UC Davis|
|Location: ||1147 MSB|
|Start time: ||Fri, Nov 21 2014, 4:10PM|
The energy spectrum of a many-body quantum system and its physical properties at low temperature can often be understood in terms of a particle description of the eigenvectors of the Hamiltonian of the system. These (quasi-)particles derive some of their most important properties from the local structure of the interactions and the physical space in which the system resides. I will review important old and new results in mathematical physics that describe this particle structure, discuss the relation between particle statistics and the topology of configuration space, and conclude with a discussion of recent results and open problems regarding topologically ordered phases of matter.
Reception to follow the lecture