Algebraic Groups, Motives and Applications

The CAS Research Group is based in the field of motivic algebraic geometry. Its aim is to apply and further develop modern mathematical tools to explore the structure of algebraic varieties. A central focus lies in the study of algebraic groups through the lens of various oriented cohomology theories.

The work of the CAS Research Group is organized into three main areas:

1. The investigation of the structure of Chow motives of projective varieties related to algebraic groups.
2. The application of motivic homotopy theory, algebraic cobordism and algebraic Morava K-theory to algebraic groups.
3. The study of affine Lie algebras and related algebraic and geometric structures.

The overarching objective is to deepen the understanding of algebraic groups, their motives, and their cohomological invariants through these interconnected approaches.