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SUMMARY:Cecilia Higgins (Rutgers University)
DTSTART:20260903T180000Z
DTEND:20260903T190000Z
DTSTAMP:20260914T071133Z
UID:OLS/211
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/211/">Sp
 ectral theory and descriptive combinatorics for Borel pmp graphs</a>\nby C
 ecilia Higgins (Rutgers University) as part of Online logic seminar\n\n\nA
 bstract\nIn classical spectral graph theory\, one associates to finite gra
 phs Hermitian matrices\, such as the adjacency matrix\, that encode graphi
 cal information. The spectral properties of these matrices are then levera
 ged to analyze the combinatorial features\, including vertex coloring\, ed
 ge coloring\, and matching\, of the corresponding graphs. Analogously\, on
 e can associate bounded\, self-adjoint operators\, such as the adjacency o
 perator\, to Borel pmp graphs of bounded degree. In this talk\, we present
  new descriptive combinatorics results for pmp graphs that involve the app
 lication of spectral theory to their associated operators. This is joint w
 ork with Pieter Spaas\, Alexander Tenenbaum\, and Sofia Torelli.\n
LOCATION:https://researchseminars.org/talk/OLS/211/
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