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DTSTART:20260308T070000
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DTSTART:20251102T060000
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DTSTART;TZID=America/Toronto:20260615T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-colloquium-67
SUMMARY:Pure Math Colloquium
CLASS:PUBLIC
DESCRIPTION:MORITZ WEBER\, Saarland University\n\n_Quantum Mathematics\, qu
 antum symmetries and quantum information_\n\nSince the early days of the f
 oundation of quantum mechanics\, 100 years\nago\, it was clear that a new 
 kind of mathematics was needed in order\nto capture the new physics. At th
 at time\, John von Neumann formulated\nhis principles of quantum mechanics
  and one of the main features was\nnoncommutativity - the fact\, that two 
 observables A and B need not to\ncommute. This was the starting point of a
  systematic study of\nnoncommuting operators which quickly emancipated fro
 m \"just a physics\ntool\" to an own branch in mathematics as such. More a
 nd more often\, it\nis called quantum mathematics nowadays and it comprise
 s C*-algebras\n(aka quantum\ntopology)\, von Neumann algebras (aka quantum
  measure theory)\,\nConnes’s noncommutative geometry (aka quantum differ
 ential\ngeometry)\, quantum groups and many more. I will give a brief surv
 ey on\nquantum mathematics\, and I will then focus on an introduction to\n
 quantum symmetries and their link to quantum information theory.\n\nMC 550
 1
DTSTAMP:20260605T224821Z
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