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Graph complexes occupy quite a unique space in contemporary mathematics research.
On the one hand, they can be used to encode difficult and unsolved problems,
such as the computation of the cohomology of moduli spaces of Riemann surfaces.
On the other hand, graph complexes can be introduced to an undergraduate with
no more than a background in discrete math and linear algebra, and one can
quickly start working on unsolved problems, gathering data and performing novel
computations. These talks will give both an elementary definition and discuss some recent advances on the topic.
Lecture I: An elementary introduction to graph complexes.
Lecture II: Graph complexes via the Feynman transform.
Lecture III: Massey Products for Graph Complexes. |