# Manchester Algebra Seminar - Emily Rudman

Dates: | 15 December 2020 |
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Times: | 13:00 - 14:00 |

What is it: | Seminar |

Organiser: | Department of Mathematics |

Who is it for: | University staff, Current University students |

Speaker: Emily Rudman

Title: The cyclic homology of $kx_1,x_2,\ldots,x_d/(x_1,x_2,\ldots,x_d)^2$

Abstract: The Hochschild homology of the ring $kx_1,x_2,\ldots,x_d/(x_1,x_2,\ldots,x_d)^2$ has been known and calculated several ways. This paper uses those calculations to calculate cyclic, negative cyclic, and periodic homology of the ring. The calculations are relatively straightforward for $k=\mathbb{Q}$, but we see interesting torsion phenomena over $k=\mathbb{Z}$.

Time: 1pm

Place: Zoom