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RD in higher rank October 04, 2011 (10:00 AM PDT - 11:00 AM PDT)
Parent Program: --
Location: MSRI: Simons Auditorium
Speaker(s) Irine Peng (Pohang University of Science and Technology (POSTECH))
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The property or Rapid Decay is a a property of the convolution operator on the L_2 space of a finitely generated group. Valette had conjectured that all cocompact lattices in the isometry group of symmetric spaces had property RD but progress in higher ranks seems a bit limited. I will describe a different approach to the problem (via a representation on the Furstenberg boundary) that may circumvent the issues with existing approaches.

All contents are joint work with Chris Connell.

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