Topology of Character Varieties

Topology of Character Varieties

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Dan Ramras, IUPUI
Fine Hall 322

Character varieties parametrize conjugacy classes of representations of discrete groups into algebraic groups. I'll discuss some recent result on the topology of these varieties. In particular, I'll explain how studying their fundamental groups leads to information about centralizers in Lie groups. This is joint with with Biswas, Lawton, and Florentino.