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Barcelona Algebraic Topology Group

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Barcelona Algebraic Topology Group

This is the web site of the Algebraic Topology Team in Barcelona (Grup de Topologia Algebraica de Barcelona, 2014SGR-42 and Homotopy theory of classifying spaces and function complexes, MTM2013-42293-P).

Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities.

Friday's Topology Seminar 2015-2016 PDF

Date and Place: April, 26th 2016, 12h00, CRM room A2 (first floor)
Antonio Díaz (Universidad de Málaga)
On Quillen's conjecture for p-solvable groups

Abstract: Quillen's conjecture on the p-subgroups complex was figured out for solvable and p-solvable groups in the 80's and 90's thanks to the work of Quillen, Aschbacher, Smith and Alperin. Here we present a fresh new geometric approach to the subject. This includes an asymptotic version for the p-solvable case that does not use the Classification of the Finite Simple Groups. The methods are potentially applicable to the general case of the conjecture.

This semester we will read Benson-Greenlees paper "Stratifying the derived category of cochains on $BG$ for $G$ a compact Lie group".

Our aim will be study the results and see if we can generalize them to the $p$-compact case. The tentative schedule is the following:

1) February 19th. W. Pitsch. Overview
2) March 4th. L. Carlier. Tensor triangualted categories
3) April 1st. T. Lozano. $p$-compact groups
4) April 15th. W. Pitsch. Stratification I
5) April 29th. W. Pitsch Stratification II
6) May 6th. J. Kock Stratification III
7) May 13rd. R. Riba. $C^\ast(BG,k)$
8) May 20th N. Castellana. $C^\ast(BG,k)$ is noetherian

Date and place: Fridays 12h00-13h00, CRM Room A1.

Date and Place: April, 29th 2016, 12h00, CRM room A1
Wolfgang Pitsch (UAB)
Stratification of triangulated categories II

Abstract: Presentaré un esbozo de la teoría de estratificación de categorías trianguladas R-lineales, R un anillo noeteriano, segun Benson-Iyengar-Krause.



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