Homotopical algebra in geometry, topology, and physics

June 20-25, 2025

Northwestern University

 

This conference will feature mini-courses, talks, and discussions on homotopical algebra with focus on applications to (algebraic, differential, symplectic,…) geometry, topology, and mathematical physics. The toolbox of homotopical algebra will be broadly understood and will include: abstract homotopy theory, homological algebra, homotopy theory of operads and algebraic structures, higher category theory, higher representation theory, deformation theory, and so on… The format will allow extensive questions, discussions, and exchange of ideas and will prioritize understanding over being strict with time.

Speakers:

Mini Courses:

  1. Victor Turchin: Embedding spaces, graph-complexes, and Maurer-Cartan elements as invariants of embeddings
  2. Brian Williams: Local cohomology and quantum field theory

Funding: A small amount of funding is available for students, early career researchers, and those without other sources of support. The deadline for applying for funding is April 15th.

Registration: Registration for this event is now closed.

Lodging: Some hotels in the area are:

Organizers: Manuel Rivera, Boris Tsygan

This event is supported by NSF Grant DMS 2405405, Purdue University, and Northwestern University.