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Motivic Milnor fibre and logarithmic geometry
Multi angle
Authors : Fichou, Goulwen (Author of the conference)
CIRM (Publisher )
14B05 - Singularities
32S55 - Milnor fibration; relations with knot theory
14E18 - Arcs and motivic integration
CIRM (Publisher )
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Abstract :
We provide a description of the motivic and topological Milnor fibre of a regular function with only normal crossing singularities using logarithmic geometry. This approach resembles the description of the geometry monodromy using real oriented blowing-up given by Norbert A'Campo in 1975. Joint work with Jean-Baptiste Campesato and Adam Parusinski
MSC Codes : 14B05 - Singularities
32S55 - Milnor fibration; relations with knot theory
14E18 - Arcs and motivic integration
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 14/02/2025 Conference Date : 29/01/2025 Subseries : Research School arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:53:02 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-01-29_Fichou.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.20292903Cite this video as: Fichou, Goulwen (2025). Motivic Milnor fibre and logarithmic geometry. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20292903 URI : http://dx.doi.org/10.24350/CIRM.V.20292903 |
See Also
- [Multi angle] Resolution of foliated varieties by torus actions / Author of the conference Wlodarczyk , Jaroslaw.
- [Multi angle] Semialgebraic Whitney partition of unity / Author of the conference Valette, Anna.
- [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] 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.
Bibliography
- CAMPESATO, Jean-Baptiste, FICHOU, Goulwen, et PARUSIŃSKI, Adam. Motivic, logarithmic, and topological Milnor fibrations. Advances in Mathematics, 2025, vol. 461, p. 110075. - https://doi.org/10.48550/arXiv.2111.14881
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