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Semialgebraic Whitney partition of unity
Multi angle
Authors : Valette, Anna (Author of the conference)
CIRM (Publisher )
14P20 - Nash functions and manifolds, See also {32C07, 58A07}
57R35 - Differentiable mappings
CIRM (Publisher )
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Abstract :
This talk is based on a common work with Wieslaw Pawlucki and Beata Kocel-Cynk. I will present a notion of $\mathrm{\wedge }_{p}$-regular partition of unity which can be seen as a semialgebraic counterpart of Whitney partition of unity. This enables us to obtain a semialgebraic (or more generally definable) version of Calder´on Zygmund theorem on regularization of the distance function. Some more consequences will also be given.
Keywords : semialgebraic functions; semialgebraic sets; Calderon-Zygmund theorem
MSC Codes : Keywords : semialgebraic functions; semialgebraic sets; Calderon-Zygmund theorem
14P20 - Nash functions and manifolds, See also {32C07, 58A07}
57R35 - Differentiable mappings
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 14/02/2025 Conference Date : 27/01/2025 Subseries : Research School arXiv category : Algebraic Geometry Mathematical Area(s) : Analysis and its Applications ; Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:48:53 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-01_27_Valette.mp4 
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Information on the Event
Event Title : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1Event Organizers : Fantini, Lorenzo ; Pełka, Tomasz ; Pichon, Anne ; Rond, Guillaume Dates : 27/01/2025 - 31/01/2025 Event Year : 2025 Event URL : https://conferences.cirm-math.fr/3267.html
Citation Data
DOI : 10.24350/CIRM.V.20295003Cite this video as: Valette, Anna (2025). Semialgebraic Whitney partition of unity. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20295003 URI : http://dx.doi.org/10.24350/CIRM.V.20295003 |
See Also
- [Multi angle] Resolution of foliated varieties by torus actions / Author of the conference Wlodarczyk , Jaroslaw.
- [Multi angle] Semi-homogeneous bundles, Fourier-Mukai transforms, and tropicalization / Author of the conference Ulirsch, Martin.
- [Multi angle] Tropical and logarithmic techniques for the study of Milnor fibers - Lecture 3 / Author of the conference Popescu-Pampu, Patrick.
- [Multi angle] Tropical and logarithmic techniques for the study of Milnor fibers - lecture 2 / Author of the conference Popescu-Pampu, Patrick.
- [Multi angle] Tropical and logarithmic techniques for the study of Milnor fibers - Lecture 1 / Author of the conference Popescu-Pampu, Patrick.
- [Multi angle] Specialization techniques and stable rationality - Lecture 3 / Author of the conference Ottem, John Christian.
- [Multi angle] Specialization techniques and stable rationality - Lecture 2 - the motivic volume formula of Nicaise-Shinder / Author of the conference Ottem, John Christian.
- [Multi angle] Specialization techniques and stable rationality - Lecture 1 / Author of the conference Ottem, John Christian.
- [Multi angle] Piecewise linear geometry and spaces of valuations / Author of the conference Loeser, François.
- [Multi angle] A universal motivic invariant of birational maps / Author of the conference Lin, Hsueh-Yung.
- [Multi angle] Nash blowup fails to resolve singularities in dimensions four and higher / Author of the conference Leyton-Álvarez, Maximiliano.
- [Multi angle] A singular path through toric geometry / Author of the conference Gonzalez Perez, Pedro Daniel.
- [Multi angle] Teissier singularities / Author of the conference Mourtada, Hussein.
- [Multi angle] Motivic invariants via non-archimedean geometry - Lecture 3 / Author of the conference Forey, Arthur.
- [Multi angle] Motivic invariants via non-archimedean geometry - Lecture 2 / Author of the conference Forey, Arthur.
- [Multi angle] Motivic invariants via non-archimedean geometry - Lecture 1 / Author of the conference Forey, Arthur.
- [Multi angle] Motivic Milnor fibre and logarithmic geometry / Author of the conference Fichou, Goulwen.
- [Multi angle] Generic theta divisors / Author of the conference Budur, Nero.
- [Multi angle] The KSBA moduli space of stable log Calabi-Yau surfaces / Author of the conference Argüz, Hülya.
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