This volume contains the proceedings of the VBAC 2022 Conference on Moduli Spaces and Vector Bundles-New Trends, held in honor of Peter Newstead's 80th birthday, from July 25-29, 2022, at the University of Warwick, Coventry, United Kingdom.
The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.
The papers focus on the theory of stability conditions in derived categories, non-reductive geometric invariant theory, Brill-Noether theory, and Higgs bundles and character varieties. The volume includes both survey and original research articles. Most articles contain substantial background and will be helpful to both novices and experts.
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Proceedings from VBAC 2022 honor Peter Newstead’s 80th birthday with innovative research on moduli spaces, vector bundles, and stability conditions. The papers explore non-reductive invariant theory, Brill–Noether problems, and Higgs bundles, blending surveys with original contributions for a broad audience.
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- Usha N. Bhosle, Poincare and Picard bundles on the moduli spaces of bundles on curves
- Indranil Biswas, Carlos Florentino, and Azizeh Nozad, Topology of the moduli spaces of Higgs bundles over abelian varieties
- Steven Bradlow, Global properties of Higgs bundle moduli spaces
- L. Brambila-Paz and R. Rios-Sierra, Moduli of unstable bundles of HN-length two with fixed algebra of endomorphisms
- Izzet Coskun, Jack Huizenga, and Howard Nuer, The Brill-Noether theory of the moduli spaces of sheaves on surfaces
- Simona D'Evangelista and Margherita Lelli-Chiesa, Double covers of curves on Nikulin surfaces
- Emilio Franco, O'Grady spaces and symplectic resolution of moduli spaces of Higgs bundles
- Oscar Garcia-Prada, Vinberg pairs and Higgs bundles
- Tomas L. Gomez, Andres Fernandez Herrero, and Alfonso Zamora, A guide to moduli theory beyond GIT
- Angel Gonzalez-Prieto, Marina Logares, Javier Martinez, and Vicente Munoz, Stratification of SU($r$)-character varieties of twisted Hopf links
- George H. Hitching, Secant loci of scrolls over curves
- Victoria Hoskins, Moduli spaces and geometric invariant theory: Old and new perspectives
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Product details
ISBN
9781470472962
Published
2024-08-31
Publisher
American Mathematical Society; American Mathematical Society
Height
254 mm
Width
178 mm
Age
P, 06
Language
Product language
Engelsk
Format
Product format
Heftet
Number of pages
372