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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20251106T160000
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URL:https://uwaterloo.ca/pure-mathematics/events/analysis-seminar-206
SUMMARY:Analysis Seminar
CLASS:PUBLIC
DESCRIPTION:BRENT NELSON\, MICHIGAN STATE UNIVERSITY\n\n_Closable derivatio
 ns are anticoarse\, of course_\n\nThe anticoarse space of an inclusion $N\
 \subset M$ of tracial von\nNeumann algebras is an $N$-subbimodule of $L^2(
 M)$ whose size is\nsensitive to several structural properties of the inclu
 sion. It has\nbecome a staple of so-called microstates techniques in free\
 nprobability\, where it allows one to parlay finite dimensional\napproxima
 tions into algebraic properties. On the other hand\,\nnon-microstates tech
 niques\, which exploit the regularity of certain\nderivations on a von Neu
 mann algebra\, have not made use of the\nanticoarse space\, until now. In 
 this talk\, I will discuss how\ndeformations given by closable derivations
  provide a natural\nconnection to anticoarse spaces and consequently yield
  new\napplications of free probability. This is based on joint work with\n
 Yoonkyeong Lee. \n\nQNC 1507 or Join on Zoom\n[https://uwaterloo.zoom.us/j
 /94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09]
DTSTAMP:20260504T203405Z
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