Convener(s)

The main aim of this workshop is to introduce participants with various methods and tools that are used to solve problems at the intersection of topological combinatorics and combinatorial commutative algebra. The
topics that we plan to explore are: Stanley-Reisner ring of a simplicial complex, Cohen-Macaulay conditions, edge and cover ideals of graphs, splitting monomial ideals and Fröberg’s theorem, component-wise linearity, simplicial complexes associated with graphs; like neighborhood complexes, independence complexes, matching complexes and their generalizations etc, discrete Morse theory and its applications. We also plan to discuss topological invariants of above men-tioned graph complexes and their connections to graph theory.

Pre-requisites: First course in commutative algebra and algebraic topology with the understanding of homology and cohomology calculations.