ALGAR 2025: Linear algebraic groups and algebras with involution

In 2025, the ALGAR summer school will be dedicated to linear algebraic groups and algebras with involution. We will study linear algebraic groups and explore their connections to quadratic forms and central simple algebras with an involution. On this basis, we will discuss cohomological invariants and see a presentation of Weil’s characterization of classical semi-simple groups of adjoint type as automorphism groups of algebras with involution. We will further look into the rationality problem for certain group varieties and the related notion of R-equivalence, introduced by Y. Manin.

(Text: University of Antwerp)

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