2025 CMS Winter Meeting
Toronto, Dec 5 - 8, 2025
- ALEJANDRO ADEM, University of British Columnia + NSERC
- KRISTINE BAUER, University of Calgary
- STEVEN BOYER, Université du Québec à Montréal
- DANIEL CARRANZA, Johns Hopkins University
- ADAM CLAY, University of Manitoba
- OCTAV CORNEA, Université de Montréal
- MARTIN FRANKLAND, University of Regina
Enriched model categories and the Dold-Kan correspondence [PDF]
- KRISTINE BAUER, University of Calgary
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If we start with a model category enriched in simplicial abelian groups and we normalize each hom complex, what kind of structure do we obtain? In joint work with Arnaud Ngopnang Ngompé, we show that changing the enrichment along (the right adjoint of) a weak monoidal Quillen pair results in a "weak" enriched model category. The main issue is that we lose the tensoring and cotensoring, but we retain a weak form thereof.
- TYRONE GHASWALA, University of Waterloo
- NATHAN KERSHAW, Western University
- GEUNYOUNG KIM, McMaster University
- ALEXANDER KUPERS, University of Toronto Scarborough
Mapping class groups of exotic tori [PDF]
- NATHAN KERSHAW, Western University
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The d-dimensional torus is a topological manifold that often admits many smooth structures. How does its mapping class group (isotopy classes of diffeomorphisms) depend on the smooth structure? I will explain a partial answer to this question that appears in joint work with Bustamante, Krannich, and Tshishiku, give some geometric applications, and state some open problems.
- ÇAĞATAY KUTLUHAN, University of Buffalo
- DUNCAN MCCOY, Universite du Quebec a Montreal
- LELAND MCINNES, Tutte Institute for Mathematics and Computing
- WILLIAM MENASCO, University of Buffalo
- PATRICK NAYLOR, McMaster University
- B. DOUG PARK, University of Waterloo
- DORETTE PRONK, Dalhousie University
- MARTINA ROVELLI, University of Ottawa
- NICK ROZENBLYUM, University of Toronto
- ANDREW SALCH, Wayne State University
Number theory and stable homotopy groups of spheres [PDF]
- DUNCAN MCCOY, Universite du Quebec a Montreal
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This will be a short survey talk. I will sketch the basic ideas and techniques for computing stable homotopy groups of spheres, and other finite CW-complexes, by means of the group cohomology of Morava stabilizer groups, i.e., the automorphism groups of one-dimensional formal group laws. Then I will review the cases in which such computations result in a formula which describes the orders of some part (given by a Bousfield localization) of the stable homotopy groups of some finite CW-complex, in terms of number-theoretic data: special values of an L-function, e.g. the Riemann zeta-function. This gives a compact and digestible way to describe the orders of various periodic families in the stable homotopy groups of finite CW-complexes, especially spheres.
- YVON VERBERNE, Western University
- C.M. MICHAEL WONG, University of Ottawa
- C.M. MICHAEL WONG, University of Ottawa