Homotopical Methods in Geometry and Representation Theory

The winter school aims at making the participants familiar with methods of homotopy theory that have recently seen applications in geometry and representation theory. There will be five lecture series covering an array of topics: differential graded and A-infinity categories, enhancements of triangulated categories, model categories and the Kan-Quillen model structure, spectral sequences, differential graded operads and their homotopy theory, and obstruction theory for A-infinity algebras and bimodules.

Venue: Institute of Mathematics of the Czech Academy of Sciences

Invited speakers: Gustavo Jasso, Fernando Muro, Constanze Roitzheim, Paolo Stellari, Sarah Whitehouse

Abstracts: The schedule and abstracts of the lecture series will be announced at a later stage.

Registration: In order to register, please fill in the registration form before December 31, 2026.

Financial support for early career researchers: We can cover accommodation costs for a small number of early career researchers. You can apply for the support through the registration form. The deadline for requesting financial support is November 30, 2026. 

Location: The winter school will be held at the Institute of Mathematics of the Czech Academy of Sciences, Žitná 25. The nearest metro stop is Karlovo Náměstí, which is on the metro B line (yellow). The nearest tram stop is Štěpánská. 

There are various lunch options around the winter school venue. Some suggestions can be found here.

Travel around Prague: Public transport is extensive and inexpensive. Tickets can be purchased on all trams and buses, and at all metro stations. The website for the transport company (PID), including a route planner, is linked here.

There is not a train from the airport to the city centre. The most frequent and convenient option is to take the trolleybus number 59 from the airport to Nádraží Veleslavín, and then change to the metro line A. The winter school venue is on line B of the metro, which connects with metro line A at Můstek. Other options for public transport can be found on the PID website.

For taxi travel from the airport, the official provider is Uber, which can be booked on the app or at the airport. Another app service is Bolt. Beware of unbooked taxis waiting at the airport, they are notorious for scamming passengers.

Organisers: Michal Hrbek, Gustavo Jasso, Fernando Muro, Jan Šťovíček, Alexandra Zvonareva

Contact: If you have any questions please send an email to the following address: school2027@karlin.mff.cuni.cz

Funding for the winter school is provided by the following institutions: 

• Czech Academy of Sciences

• University of Cologne