**Tame Homotopy Theory and Transformation Groups**

The objective of the seminar will be to understand Hanke's work [Han09]. Along the way we will study
general applications of rational homotopy to the theory of transformation groups, and its extension
to tame homotopy theory, which deals with **F**_{p}-coefficients.
There will be a few preliminary sessions on the theory of transformation groups and on rational
homotopy before we move on to reading Hanke's paper.

- Joana Cirici:
Introduction
6 February 2023, 12:00, IMUB

[ Notes ]

- Jordi Daura:
Borel construction, equivariant cohomology, Mann-Su Theorem
13 February 2023, 12:00, IMUB

[ Notes ]

- Ignasi Mundet:
General considerations on transformation group theory
20 February 2023, 12:00, IMUB

- Roger Garrido:
Rational homotopy theory, model of the Borel fibration
27 February 2023, 12:00, IMUB

[ Notes ]

- Joana Cirici:
Finite-dimensional rational homotopy
6 March 2023, 12:00, IMUB

- Sergio García:
Proof of the main theorem of [Han09]
13 March 2023, 12:00, IMUB

- Jordi Garriga:
The Cenkl-Porter complex
20 March 2023, 12:00, IMUB

[ Notes ]

- Anna Sopena-Gilboy:
Tame homotopy theory
27 March 2023, 12:00, IMUB

- Pedro Magalhaes:
Tame Hirsch Lemma
17 April 2023, 12:00, IMUB

- Ignasi Mundet:
Tame equivariant minimal models
24 April 2023, 12:00, IMUB

- Jordi Daura:
Tame equivariant minimal models II
8 May 2023, 12:00, IMUB

- Joana Cirici:
Loose ends and perspectives
15 May 2023, 12:00, IMUB

**References**

[AP93] C. Allday and V. Puppe, Cohomological methods in transformation groups, Cambridge Studies in
Advanced Mathematics, vol. 32, Cambridge University Press, Cambridge (1993).

[CP84] B. Cenkl and R. Porter, De Rham theorem with cubical forms, Pacific J. Math. (1984).

[Hal77] S. Halperin, Finiteness in the minimal models of Sullivan, Trans. Amer. Math. Soc. (1977).

[Han09] B. Hanke, The stable free rank of symmetry of products of spheres, Invent. Math. (2009).

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