Learning Seminar 3/9

Speaker: Scott Neville

Title: Computing Cluster Cohomology

Abstract: Cluster cohomology associates certain algebraic invariants to a (locally acyclic) cluster variety. We will give a definition of (algebraic De Rham) cohomology that is relatively easy to compute for cluster varieties, and introduce some techniques from algebraic topology that further help with computations. Then we will apply these definitions and techniques to compute the cohomology of several cluster varieties.

No previous exposure to cohomology will be expected, though we will also not give proofs. Our goal is to see the examples and get some exposure to the techniques used to compute them.

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