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Semi-homogeneous bundles, Fourier-Mukai transforms, and tropicalization
Multi angle
Authors : Ulirsch, Martin (Author of the conference)
CIRM (Publisher )
Additional resources :
https://www.cirm-math.fr/RepOrga/3267/Slides/Ulirsch.pdf
CIRM (Publisher )
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Abstract :
Let $\mathrm{X}$ be a fixed abelian variety. In this talk I will outline a framework to classify semi-homogeneous vector bundles on $\mathrm{X}$ using a suitably modified Fourier–Mukai transform that generalizes the well-known homogeneous situation. This will allow us to explicitly construct moduli spaces of semi-homogeneous vector bundles on $\mathrm{X}$. Using the perspective of non-Archimedean uniformization, we can use our insights to understand the tropicalization of the moduli space of semihomogeneous vector bundles in terms of its essential skeleton.This talk is based on joint work with Andreas Gross, Inder Kaur, and Annette Werner.
MSC Codes : Additional resources :
https://www.cirm-math.fr/RepOrga/3267/Slides/Ulirsch.pdf
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Information on the Video
Film maker : Recanzone, LucaLanguage : English Available date : 14/02/2025 Conference Date : 28/01/2025 Subseries : Research School arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 00:49:49 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2025-01-28_Ulirsch.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.20294903Cite this video as: Ulirsch, Martin (2025). Semi-homogeneous bundles, Fourier-Mukai transforms, and tropicalization. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20294903 URI : http://dx.doi.org/10.24350/CIRM.V.20294903 |
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Bibliography
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