Sharply o-minimal structures and sharp cell decomposition

Appears in collection : Tame Geometry Thematic Month Week 3 / Géométrie modérée Mois thématique semaine 3

We explain recent developments in sharply o-minimal structures. Specifically, we explain how to obtain a "sharp" cellular decompostion in a general o-minimal structures.

Information about the video

Date of recording 11/02/2025
Date of publication 28/02/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20304603
Cite this video Zak, Benny (11/02/2025). Sharply o-minimal structures and sharp cell decomposition. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20304603
URL https://dx.doi.org/10.24350/CIRM.V.20304603

Domain(s)

Bibliography

BINYAMINI, Gal, NOVIKOV, Dmitri, et ZACK, Benny. Sharply o-minimal structures and sharp cellular decomposition. arXiv preprint arXiv:2209.10972, 2022. - https://arxiv.org/abs/2209.10972
BINYAMINI, Gal, NOVIKOV, Dmitry, et ZAK, Benny. Wilkie's conjecture for Pfaffian structures. Annals of Mathematics, 2024, vol. 199, no 2, p. 795-821. - https://doi.org/10.4007/annals.2024.199.2.5
BINYAMINI, Gal et VOROBJOV, Nicolai. Effective cylindrical cell decompositions for restricted sub-Pfaffian sets. International mathematics research notices, 2022, vol. 2022, no 5, p. 3493-3510. - https://doi.org/10.1093/imrn/rnaa285