Luca Fiorindo: Gröbner bases for weighted Veronese rings

Abstract: Veronese algebras are a classical family of rings that have played, and continue to play, a central role in many areas of mathematics. In the setting of non-standard graded polynomial rings, we study weighted Veronese rings through the lens of 2-dimensional normal semigroup rings. In this talk, we present recent results on algebraic properties and invariants of these algebras, using the theory of initial ideals and Gröbner bases.

This is joint work with B. Chase, T. Holleben, E. Marangone, T. T. Nguyen, A. Seceleanu, and S. Singh.