A spectral gap theorem in SU
Jean Bourgain
Institute for Advanced Study, Princeton, United StatesAlex Gamburd
University of California at Santa Cruz, United States
![A spectral gap theorem in SU$(d)$ cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-14-issue-5.png&w=3840&q=90)
Abstract
We establish the spectral gap property for dense subgroups of SU (), generated by finitely many elements with algebraic entries; this result was announced in [BG3]. The method of proof differs, in several crucial aspects, from that used in [BG] in the case of SU.
Cite this article
Jean Bourgain, Alex Gamburd, A spectral gap theorem in SU. J. Eur. Math. Soc. 14 (2012), no. 5, pp. 1455–1511
DOI 10.4171/JEMS/337