Highlights from "The Ramanujan Property for Simplicial Complexes"

Research output: Other contributionpeer-review


This paper brings the main definitions and results from "The Ramanujan Property for Simplicial Complexes" [arXiv:1605.02664]. No proofs are given.
Given a simplicial complex X and a group G acting on X, we define Ramanujan quotients of X. For G and X suitably chosen this recovers Ramanujan k-regular graphs and Ramanujan complexes in the sense of Lubotzky, Samuels and Vishne. Deep results in automorphic representations are used to give new examples of Ramanujan quotients when X is the affine building of an inner form of GLn over a local field of positive characteristic.
Original languageEnglish
Number of pages23
StatePublished - 1 Jun 2016


  • Mathematics - Combinatorics
  • Mathematics - Number Theory
  • Mathematics - Representation Theory


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