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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

8 votes

What are the occurrences of stacks outside algebraic geometry, differential geometry, and ge...

Stacks over the category locales are very interesting for topos theory: A big success of topos theory is the fact that the $(2,1)$-categories of Grothendieck toposes and geometric morphisms between t …
Simon Henry's user avatar
  • 42.4k
19 votes
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Is each closed convex set a manifold with corners?

Consider the following curve (very informally described): start from the origin in $\mathbb{R}^2$, then move from one unit up. Turn of an angle $\pi/4$ on the left and move from half of unit. Turn o …
Simon Henry's user avatar
  • 42.4k