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Real and symmetric matrices

Algebraic Geometry

Speaker: David Nadler, UC Berkeley
Location: 2112 MSB
Start time: Wed, Mar 6 2019, 1:10PM

Kostant and Sekiguchi established a bijection between equivalence classes of real and symmetric nilpotent matrices. I'll explain how to lift this to a homeomorphism by thinking of matrices with eigenvalues in more general curves than the affine line. Time permitting, I'll discuss applications to Springer theory and representations of real groups. Joint work with Tsao-Hsien Chen.