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.
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
Peter Gothen, Universidade do Porto, Portugal, Margarida Melo, Universita Roma Tre, Rome, Italy, and Montserrat Teixidor i Bigas, Tufts University, Medford, MA.
