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Spencer Whitehead, Department of Pure Mathematics, University of Waterloo

"Integrality theorems for symmetric instantons"

A symmetric instanton is a solution to the finite-energy anti-self-dual instanton equation on R^4 in which the connection commutes with some perscribed group of symmetries. This talk introduces the symmetric ADHM equations for structure group SU(N), and how index-theoretic methods can be used to derive integrality theorems for different symmetry groups.