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SUMMARY:Cecilia Higgins (Rutgers University)
DTSTART:20260903T180000Z
DTEND:20260903T190000Z
DTSTAMP:20260825T033335Z
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\nInt
 eractive livestream: https://zoom.us/j/122323340\n\nAbstract\nIn classical
  spectral graph theory\, one associates to finite graphs Hermitian matrice
 s\, such as the adjacency matrix\, that encode graphical information. The 
 spectral properties of these matrices are then leveraged to analyze the co
 mbinatorial features\, including vertex coloring\, edge coloring\, and mat
 ching\, of the corresponding graphs. Analogously\, one can associate bound
 ed\, self-adjoint operators\, such as the adjacency operator\, to Borel pm
 p graphs of bounded degree. In this talk\, we present new descriptive comb
 inatorics results for pmp graphs that involve the application of spectral 
 theory to their associated operators. This is joint work with Pieter Spaas
 \, Alexander Tenenbaum\, and Sofia Torelli.\n
LOCATION:https://researchseminars.org/talk/OLS/211/
URL:https://zoom.us/j/122323340
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