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seminars:topsem

Geometry and Topology Seminar

Unless stated otherwise, the seminar takes place Thursdays at 2:50–3:50 pm in WH-100E followed by refreshments served from 4:00–4:25 pm in WH-102.

Some seminar speakers will also give a colloquium talk at 4:30 pm on the same day as the seminar talk. This seminar is partly funded as one of Dean's Speaker Series in Harpur College (College of Arts and Sciences) at Binghamton University.

NEW! To watch online videos of selected talks, click here.

To receive announcements of seminar talks by email, please join the seminar's mailing list. To subscribe to an on-line calendar with the seminar schedule, please choose a format: iCal or xml.

Previous talks


Spring 2017

For questions contact Christoforos Neofytidis

  • January 26
    Speaker: Marco Varisco (SUNY at Albany)
    Title: Assembly maps for topological cyclic homology

    Abstract: I will present recent joint work with Wolfgang Lück, Holger Reich, and John Rognes [arXiv:1607.03557], in which we use assembly maps to study the topological cyclic homology of group algebras. For any finite group G, for any connective ring spectrum A, and for any prime p, we prove that TC(A[G];p) is determined by TC(A[C];p) as C ranges over the cyclic subgroups of G. More precisely, we prove that for any finite group the assembly map with respect to the family of cyclic subgroups induces isomorphisms on all homotopy groups. For infinite groups, we establish pro-isomorphism, split injectivity, and rational injectivity results, as well as counterexamples to injectivity and surjectivity. In particular, for hyperbolic groups and for virtually finitely generated abelian groups, we show that the assembly map with respect to the family of virtually cyclic subgroups is split injective but in general not surjective—in contrast to what happens in algebraic K-theory.

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  • March 16
    Speaker: Kamlesh Parwani (Eastern Illinois University)
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  • April 13
    Spring break
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seminars/topsem.txt · Last modified: 2017/01/19 14:52 by agogolev