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SUMMARY:Some Homotopical Aspects of Ergodic Structure Theory [HSM Early Ca
 reer Colloquium]
DTSTART:20260204T141500Z
DTEND:20260204T154500Z
DTSTAMP:20261009T051500Z
UID:indico-event-812@math-events.uni-bonn.de
DESCRIPTION:Speakers: Noa Bihlmaier (IAM)\n\nAbstract:\nA central theme in
  ergodic theory is the decomposition of systems into structured and random
  components. In the study of multiple ergodic averages\, the structured pa
 rt is captured by the Host–Kra–Ziegler tower. We will introduce this t
 ower\; which will lead us to nilspaces\, axiomatizing the cubical configur
 ations underlying these factors. We then discuss the resulting weak struct
 ure theory of nilspaces\, which can be seen as a cubical analogue of simpl
 icial homotopy theory. For example\, there are similar notions of fibratio
 ns\, homotopy groups and Postnikov towers. We make these analogies explici
 t and indicate routes toward a precise formalization.\n \nWebsite of the 
 Hausdorff Colloquium\n\nhttps://math-events.uni-bonn.de/event/812/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/812/
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