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SUMMARY:K-theory in solid-state physics: modelling and computation [MPIM]
DTSTART:20260730T130000Z
DTEND:20260730T140000Z
DTSTAMP:20260801T133000Z
UID:indico-event-1522@math-events.uni-bonn.de
DESCRIPTION:Speakers: Yuezhao Li (MPIM)\n\nMPI-Oberseminar\nCommutative al
 gebras can be viewed as certain function algebras on geometric spaces. Thi
 s perspective motivates the philosophy of noncommutative geometry\, which 
 studies noncommutative algebras as if they are functions on noncommutative
  spaces.\nIn the 1980s\, Jean Bellissard developed a surprisingly elegant 
 and powerful framework\, allowing for modelling quantum solid-state system
 s as noncommutative spaces. Their algebraic topology --- that is\, topolog
 ical K-theory --- encodes rich information that can be exactly measured in
  a physical experiment.\nOver the past decade\, new ideas and methods have
  emerged in this area\, surrounding the following two questions:1. How to 
 effectively model a solid-state system\, in a way that captures only the p
 hysically relevant topological information?2. How to efficiently compute t
 he numerical invariants of a model system\, particularly when only partial
  information is available?\nThe goal of my talk is to provide an overview 
 of the K-theoretic approach to solid-state physics\, and discuss some idea
 s and results related to these questions.\n\nhttps://math-events.uni-bonn.
 de/event/1522/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1522/
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