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Sharply o-minimal structures and sharp cell decomposition
Multi angle
Authors : Zak, Benny (Author of the conference)
CIRM (Publisher )
03C64 - Model theory of ordered structures; o-minimality
11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx]
30Dxx - Entire and meromorphic functions, and related topics
CIRM (Publisher )
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Abstract :
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.
Keywords : sharp o-minimality; cellular decomposition
MSC Codes : Keywords : sharp o-minimality; cellular decomposition
03C64 - Model theory of ordered structures; o-minimality
11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [See also 11Dxx, 14Gxx, 14Kxx]
30Dxx - Entire and meromorphic functions, and related topics
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Information on the Video
Film maker : Récanzone, LucaLanguage : English Available date : 28/02/2025 Conference Date : 11/02/2025 Subseries : Research talks arXiv category : Logic ; Algebraic Geometry Mathematical Area(s) : Logic and Foundations ; Algebraic & Complex Geometry ; Number Theory Format : MP4 (.mp4) - HD Video Time : 01:01:42 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-02-11_Zak.mp4 
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Information on the Event
Event Title : Tame Geometry Thematic Month Week 3 / Géométrie modérée Mois thématique semaine 3Event Organizers : Matusinski, Mickael ; Rond, Guillaume ; Servi, Tamara ; Speissegger, Patrick Dates : 10/02/2025 - 14/02/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3269.html
Citation Data
DOI : 10.24350/CIRM.V.20304603Cite this video as: Zak, Benny (2025). Sharply o-minimal structures and sharp cell decomposition. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20304603 URI : http://dx.doi.org/10.24350/CIRM.V.20304603 |
See Also
- [Multi angle] Parametrizations in valued fields / Author of the conference Vermeulen, Floris.
- [Multi angle] Hensel minimality / Author of the conference Rideau-Kikuchi, Silvain.
- [Multi angle] Definable holomorphic continuations in o-minimal structures / Author of the conference Padgett, Adele.
- [Multi angle] Tame geometry in quantum field theory and gravity / Author of the conference Grimm, Thomas.
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
Imagette Video
