Homotopy Theory
Org: Martin Frankland (University of Regina), Cameron Krulewski (Dalhousie University) and Daniel Teixeira (Dalhousie University)
- MATTHEW ALEXANDER, formerly University of Regina
- DANIEL ALMEIDA, University of Ottawa
- STEVEN AMELOTTE, Carleton University
- THEOFANIS CHATZIDIAMANTIS-CHRISTOFORIDIS, Western University
- TAO GONG, Western University
- SHASHEN GOUNDEN, University of Regina
- YANG HU, University of Regina
- DORETTE PRONK, Dalhousie University
- DANIEL RAMRAS, Indiana University Indianapolis
- CARLOS GABRIEL VALENZUELA RUIZ, University of Regina
- DENI SALJA, Dalhousie University
- LAURA SCULL, Fort Lewis College
Twisted Bredon Cohomology is a Morita Invariant [PDF]
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Bredon cohomology is an equivariant cohomology theory that is designed to consider information from various fixed sets of the action. In its standard form, it is NOT Morita invariant without restrictions on the coefficients, as shown in [PS]. In order to rectify this, we instead use a a twisted version of Bredon cohomology defined in [MM], indexed over the tom Dieck fundamental groupoid. We prove that this twisted Bredon cohomology is Morita invariant. In this talk, I will explain this result and the concepts that underly it via examples.
This talk is based on joint work with C. Farsi and J. Watts.
[MM] Amiya Mukherjee and Goutam Mukherjee. “Bredon-Illman cohomology with local coefficients”.
Quart. J. Math. Oxford Ser. (2) 47.186 pp. 199–21 (1996). \
[PS] Dorette Pronk and Laura Scull. "Translation Groupoids and Orbifold Bredon Cohomology". Canad. Jour. Math. vol 62 pp 614--645 (2010).
- THOMAS WILSKOW THORBJØRNSEN, Western University
- PAUL TSOPMÉNÉ, University of British Columbia Okanagan