# Pedro Marcias Marques: Families of local Artinian Gorenstein algebras, Jordan type, and related invariants

**Time: **
Mon 2023-03-13 15.00 - 16.00

**Location: **
Zoom

**Video link: **
Meeting ID: 674 5129 0700

**Participating: **
Pedro Marcias Marques, University of Évora

**Abstract.**

In a joint work with Tony Iarrobino, we construct examples of families \(\mathrm{Gor}(T)\) of local AG algebras with given Hilbert function *T*, and use obstructions that the symmetric decomposition of the associated graded algebra of an AG algebra *A* imposes on the Jordan type of *A* to study their irreducible components. Together with Johanna Steinmeyer, we explore possible generalisations of Jordan type and try to understand how they might apply to these topological questions.