2025/10/03 by Juan Omar Goméz, Goméz, Juan Omar, Chris J. Parker +1
Mathematics · #13A50 #14L15 #16T05 #20G05 #20G10 #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2510.02908
openalex publication_date 2025/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
These are extended notes based on lectures given by Vincent Franjou, Paul Sobaje, Peter Symonds and Antoine Touzé at the Master Class on New Developments in Finite Generation of Cohomology that took place at Bielefeld University in September 2023. Their aim to give a panoramic overview of van der Kallen's recent result on the finite generation of cohomology for finite group schemes over an arbitrary Noetherian base, bringing together the many papers that this theorem relies on, and supplying the necessary background and exposition.