Homotopical Methods in Geometry 2022 This is the first event of a series of meetings supported by the research project Homotopical Methods in Geometry (PID2020-117971GB-C22). The meeting will take place on November 9 at Universitat de Barcelona. Morning talks will be held in room S3 and afternoon talks in room S1. Morning session 9:30-10:30 Geoffroy Horel (Université Sorbonne Paris Nord)Binomial rings in homotopy theory 10:30-11:00 Coffee break 11:00-12:00 Pedro Boavida de Brito (Universidade de Lisboa)Configurations and tori 12:00-13:00 Federico Cantero (Universidad Autónoma de Madrid)On the power operations of Steenrod Afternoon session 15:30-16:00 Anna Sopena (Universitat de Barcelona)Bidifferential homotopy transfer and bbA-infinity algebras 16:00-16:30 David Martínez (Universitat de Barcelona)Presentable quasicategories as models of limit sketches 16:30-17:00 Coffee break 17:00-17:30 Pedro Magalhães (Universitat de Barcelona)Formality of Hodge structures and Kähler manifolds Organizing Committee Carles Casacuberta Joana Cirici Javier J. Gutiérrez