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SUMMARY:Rank rigidity via affine maps - David Lenze\, Karlsruhe Institute 
 of Technology
DTSTART:20250523T150000Z
DTEND:20250523T160000Z
UID:TALK229789@talks.cam.ac.uk
CONTACT:Adrian Dawid
DESCRIPTION:Ballmann's higher rank rigidity conjecture stands as a central
  problem in the study of CAT(0) spaces. It asserts that locally compact\, 
 geodesically complete CAT(0) spaces of higher rank admitting a geometric g
 roup action are isometric to one of three higher rank model geometries - R
 iemannian symmetric spaces\, Euclidean buildings and metric products. In t
 his talk\, I will present recent results providing a novel characterizatio
 n of these higher rank model geometries through the lens of affine maps. I
  will recall the necessary notions and will sketch the key ideas of the pr
 oof.
LOCATION:MR13
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