Presenting a proof of the Kannan-Lovasz-Simonovits conjecture

@misc{bizeul2026presenting,
  title = {{Presenting a proof of the Kannan-Lovasz-Simonovits conjecture}},
  author = {Pierre Bizeul and Boaz Klartag and Joseph Lehec},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05474},
  eprint = {2610.05474},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05474},
}

TY  - UNPB
TI  - Presenting a proof of the Kannan-Lovasz-Simonovits conjecture
AU  - Pierre Bizeul
AU  - Boaz Klartag
AU  - Joseph Lehec
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05474
UR  - https://arxiv.org/abs/2610.05474
AB  - Together with Bourgain's slicing problem and the variance conjecture, the Kannan-Lovász-Simonovits (KLS) conjecture has been a driving force for mathematical developments in high dimensional geometry in recent decades. We present here a proof of this conjecture. The crucial step in the proof is the very recent criterion from Song and Zhang involving high-order derivatives of tilt averages.
ER  -