New Spaces in Mathematics and Physics - Formal and Philosophical Reflections

Since the development of differential and algebraic varieties, the notion of space has traversed very radical transformations, both in pure mathematics and in mathematical physics. The objective of this project is to propose a formal, conceptual and historical vision of these evolutions by addressing recent notions of space in mathematics and/or physics (such as diffeologies, schemes, topoi, stacks, spin networks, homotopy types, noncommutative spaces, supermanifolds, etc.).

This conference is part of the wider project of editing a collective book on these subjects. The workshop is conceived as an opportunity to collectively discuss and enrich the different contributions to the book.