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SUMMARY:Noncommutative geometry of topological phases of matter [MPIM]
DTSTART:20260527T083000Z
DTEND:20260527T100000Z
DTSTAMP:20260716T195000Z
UID:indico-event-1341@math-events.uni-bonn.de
DESCRIPTION:Speakers: Yuezhao Li (University of Leiden/MPIM)\n\nHigher Dif
 ferential Geometry Seminar\nJean Bellissard\, in the 1980s\, has realised 
 that C*-algebras and their operator K-theory provide a unified framework t
 o study topological phases of free fermionic systems. Among others\, one o
 f the most exciting achievement is an interpretation\, in terms of noncomm
 utative geometry (NCG)\, of the Kubo formula for the Integer Quantum Hall 
 Effect. Over the past decade\, ideas and methods from (topological) groupo
 ids and coarse geometry have shed new light on how to understand topologic
 al phases of matter in a generic aperiodic system\, and what "strong" topo
 logical phases should really mean. In this talk\, I shall give a gentle in
 troduction to the NCG ideas along the line\, with an emphasis on the aperi
 odic setting. In particular\, I shall explain how to construct interesting
  observable C*-algebras from a generic point pattern using groupoid method
 s. \n\nhttps://math-events.uni-bonn.de/event/1341/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1341/
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