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[corrections applied, per Ilya and Anton]
Consider the formal series
$$
f(x) = \sum_{k=0}^\infty (\sum_A A^k) x^k
$$
where $A$ runs through $p \times p$ matrices. It is equal to $\sum_A (I - Ax)^{-1}...

Let $D$ be the derived category of k-vector spaces, and let $C$ be the part consisting of bounded chain complexes of finite-dimensional vector spaces. $D = \mathit{Ind}(C)$.
Let $P$ be a finite ...

There's an idea of Hitchin's that (all Lagrangian submanifolds)/(Hamiltonian isotopy) should be, at least approximately, the same as (all "special" Lagrangian submanifolds). "Special" is defined with ...

Mimicking the theory of projective resolutions, try this:
Start with the category whose objects are pairs $(V_1,V_0,d:V_1 \to V_0)$ where the $V_i$ are vector bundles, and whose morphisms are pairs $(...

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