Group actions in algebraic geometry and commutative algebra

From SIAG-AG

Many applied and theoretical problems exhibit symmetry in the form of a group action (of a finite group, a torus, an infinite symmetric group, or of the cyclic group generated by the Frobenius map, among many other examples). It is then a challenge to understand this symmetry as well as the structural implications it presents. Two major reasons for studying objects with symmetry (besides their intrinsic significance) are: (a) they provide good testing grounds for general phenomena (e.g. toric varieties); (b) they allow one to deduce general results that hold in the absence of symmetry when they behave well with respect to generization/specialization (e.g. monomial ideals, singular curves). The goal of this minisymposium is to bring together experts in algebraic geometry and commutative algebra, and discuss recent developments in their fields where symmetry plays an important role.