Dear Colleagues and Students,<\/p>\n
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.<\/p>\n
Speaker: Bob Oliver (Universit\u00e9 Paris 13)<\/p>\n
\u201cThe loop space homology of a small category\u201d<\/p>\n
Abstract:<\/strong> In an article published in 2009, Dave Benson described, for a \ufb01nite group G, the mod p homology of the space \u2126(BG^p) \u2014 the loop space of the p-completion of BG \u2014 in purely algebraic terms. In joint work with Carles Broto and Ran Levi, we have tried to better understand Benson\u2019s result by generalizing it. Among other things, we showed that when C is a small category, |C| is its geometric realization, R is a commutative ring, and |C|+ R is a plus construction of |C| with respect to homologywith coe\ufb03cients in R, then H\u2217(\u2126(|C|+ R);R) is the homology any chain complex of projective RC-modules that satis\ufb01es certain conditions. Benson\u2019s theorem is then the special case where C is the category associated to a \ufb01nite group G and R = Fp, so that p-completion appears as a special case of the plus construction.<\/p>\n Date: Monday, April 8, 2019 Dear Colleagues and Students, You are cordially invited to the Topology Seminar organized by the Department of Mathematics. Speaker: Bob Oliver (Universit\u00e9 Paris 13) \u201cThe loop space homology of a small category\u201d Abstract: In an article published in 2009, Dave Benson described, for a \ufb01nite group G, the mod p [\u2026] <\/p>\n
\nTime: 13:40
\nPlace: Mathematics Seminar Room, SA \u2013 141<\/p>\n","protected":false},"excerpt":{"rendered":"