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Mini-course by Paul Wiegmann: Selberg integrals and their applications to conformal field theory, quantum Hall effect and hydrodynamics.

First lecture: May 8, 2018, 2:15pm-3:30pm in SCGP Room 313
(schedule of subsequent lectures by agreement)
 
 
Paul Wiegmann (University of Chicago)
 
Selberg integrals and their applications to conformal field theory, quantum Hall effect and hydrodynamics.
 
Abstract:
 
Seemingly different phenomena such as quantum Hall effect, superfluids, instabilities in hydrodynamics, models of unstable growth (such as Hele-Shaw problem) have common geometric properties.  They could be studied on a unified platform based on Selberg integrals with large number of variables.
 
In the series of talks I will review recent advances in some of these fields emphasizing their common geometric aspects.