Martedi 5 marzo alle 16:00, nell’aula E al terzo livello del Dipartimento di Matematica e Applicazioni, il Prof. Werner M. Seiler (Università di Kassel, Kassel, Germania) terrà un seminario di Algebra Computazionale su

“COMPUTATIONAL COMMUTATIVE ALGEBRA WITH POMMARET BASES”

Abstract. The talk gives an introduction into some basic problems in computational commutative algebra and into Groebner and involutive bases as fundamental tools to tackle them. As one application, we will show how Stanley decompositions can be used to measure the size of a polynomial ideal. As another application, syzygies, free resolutions and related homological invariants are discussed. It turns out that Pommaret bases, a special form of involutive bases, contain much more information than ordinary Groebner bases and are thus of particular interest for commutative algebra and algebraic geometry.