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.

Organizing Committee
Arzhantsev Ivan
Dutta Amartya Kumar
Gupta Neena
Panin Ivan Alexandrovich

Institutions
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
Laboratory on Algebraic Transformation Groups, National Research University "Higher School of Economics", Moscow
Indian Statistical Institute