Семинар НУЛ АГП "Automorphism groups of monomial algebras"

The automorphism group of affine space is one of the most studied objects in algebraic geometry, and yet it remains poorly understood, even in dimension three. Monomial algebras form a natural family where these groups admit a more explicit description, and we hope that their study sheds light on the structure of the automorphism group of affine space itself. In this talk we will present the main results obtained on the automorphism groups of monomial algebras, as well as some open problems that arise naturally in this context.