Jarod Alper (UW)
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PDL C-36
Abstract: We provide a short and self-contained proof of the existence of Cartan--Iwahori--Matsumoto decompositions for reductive groups. This is the key algebraic input in the proof of the Hilbert--Mumford criterion in geometric invariant theory. This is joint work with Daniel Halper-Leistner and Jochen Heinloth.