Dear colleagues, We would like to announce the winter school Homotopical Methods in Geometry and Representation Theory which will take place at the Institute of Mathematics of the Czech Academy of Sciences in Prague, on 15–19 February 2027. The school aims to introduce participants to methods from homotopy theory that have recently found applications in geometry and representation theory. The programme will consist of five lecture series covering topics including: - differential graded and A-infinity categories and enhancements of triangulated categories, - model categories and the Kan–Quillen model structure, - spectral sequences, - differential graded operads and their homotopy theory, - obstruction theory for A-infinity algebras and bimodules. Speakers: Gustavo Jasso, Fernando Muro, Constanze Roitzheim, Paolo Stellari, and Sarah Whitehouse. Further information and registration can be found at: https://sites.google.com/view/hmgrt/ The registration deadline is 31 December 2026. A limited amount of financial support is available to cover accommodation costs for early-career researchers. Applications for financial support should be submitted through the registration form by 30 November 2026. Please feel free to circulate this announcement among potentially interested colleagues and students. Best regards, The organisers Michal Hrbek Gustavo Jasso Fernando Muro Jan Šťovíček Alexandra Zvonareva Fernando Muro Universidad de Sevilla, Departamento de Álgebra https://personal.us.es/fmuro/