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:
- Francis Bischoff (University of Regina)
- Christoph Chiaffrino (Humboldt University of Berlin)
- Sheel Ganatra (USC)
- Ezra Getzler (Northwestern University)
- Ralph Kaufmann (Purdue University)
- Pavel Mnev (University of Notre Dame)
- Florian Naef (Trinity College, Dublin)
- Alex Oancea (University of Strasbourg)
- Kate Poirier (City Tech)
- Chris Rogers (University of Nevada, Reno)
- Dennis Sullivan (Stony Brook University and CUNY GC)
- Victor Turchin (Kansas State University)
- Brian Williams (Boston University)
- Mahmoud Zeinalian (Lehmann College)
Mini Courses:
- Victor Turchin: Embedding spaces, graph-complexes, and Maurer-Cartan elements as invariants of embeddings
- Brian Williams: Local cohomology and quantum field theory
Abstracts and schedule: click here.
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.
Room: Harris Hall L07 in Northwestern University campus (map)
Lodging: Some hotels in the area are:
Dinner: There will be a welcome reception for all registered participants and speakers on Friday, June 20th at 6:00pm at Prairie Moon (7 minute walk from Harris Hall).
Organizers: Manuel Rivera, Boris Tsygan
This event is supported by NSF Grant DMS 2405405, Purdue University, and Northwestern University.
