NCG Learning Seminar

Speaker: Makoto Yamashita

Title: Groupoid homology

Homology of étale groupoids, as defined by Crainic and Moerdijk, is an interesting generalization of cohomology with compact support for spaces on the one hand, and homology of discrete groups on the other, which will live on opposite the opposite (co)homological degrees. On the “integral” side of theory, I will review the categorical approach based on derived category of equivariant sheaves, and connection to K-theory recently popularized by Matui. On the “rational” side, I will review the connection to cyclic homology due to Crainic.

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