Carlos Gabriel Valenzuela Ruiz

Last time, we discussed simplicial complexes and homological properties of their face rings. Every simplicial complex defines a toric space called its moment-angle complex. We'll discuss the construction, examples, its cellular structure, and some...

We continue last week’s talk by introducing two more combinatorial structures: simplicial and cubical complexes, which we’ll introduce and present some examples and constructions that arise from them. These complexes let us construct a family of...