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Many familiar varieties, such as Grassmannians, toric varieties, symmetric spaces, and algebraic monoids, arise naturally as representation-theoretic objects. Understanding their geometric and repr... Daha fazla»

The theory of derivators is an approach to homotopical algebra that focuses on the idea of enhancing the classical homotopy category $ho(C)$ of a homotopy theory $C$ by the collection of the homoto... Daha fazla»

The category of smooth manifolds and smooth maps does not have many desirable properties; it is neither (co)complete nor has a closed monoidal structure. Generalized smooth spaces are generalizatio... Daha fazla»

TBA

Let $R$ be a commutative ring. Following Cartan (1954) a differential graded algebra $(A, d)$ over $R$ is a $\mathbb Z$-graded $R$-algebra $A$ with a homogeneous $R$-linear endomorphism $d$ of degr... Daha fazla»