In this conference we will take up some basic fundamental problems related to polynomial rings including the Zariski Cancellation Problem, Abhyankar-Sathaye Conjecture or the Embedding Problem, Linearization Problem, Characterisation Problem and the Affine Fibration Problem. We shall discuss relations among these problems and how certain group actions have led to some partial developments in this regard. Among other topics we note invariants and constructions of simple algebraic groups, including Tits and Rost invariants and connections to Morava K- theories, the Grothendieck-Serre conjecture in mixed characteristic, and principle bundles over relative projective line.
We shall have invited lectures by distinguished people who can enlighten us on these problems by their research work and also promote young researchers by giving them an opportunity to speak and interact with experts.
The conference is financially supported by a grant of the Ministry of Education and Science of the Russian Federation, agreement 075-15-2022-287.