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Seminar

# Graph complexes, homology of the general linear group, and numbers

Speaker

Francis Brown (Oxford)

Date

Thu, Jun 1 2023, 4:30pm

Location

380Y

Graph complexes were introduced by Kontsevich and encode the contraction of edges in a graph. Despite the elementary definition, their homology is surprisingly

complicated and mostly unknown. After surveying recent results in this area, I will turn to the homology of the special linear group, and discuss the classical work of Minkowski on values of the zeta function, Voronoi on quadratic forms, and of Borel on stable cohomology.

In the final part of the talk I will try to draw the different strands together, and explain how these topics all share a common underlying pattern.