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We define and study the category of symmetric $\mathfrak{sl}_2$-webs. Thiscategory is a combinatorial description of the category of all finitedimensional quantum $\mathfrak{sl}_2$-modules. Explicitly, we show that (theadditive closure of) the symmetric $\mathfrak{sl}_2$-spider is (braidedmonoidally) equivalent to the latter. Our main tool is a quantum version ofsymmetric Howe duality. As a corollary of our construction, we provide newinsight into Jones-Wenzl projectors and the colored Jones polynomials.

Symmetric webs, Jones-Wenzl recursions and $q$-Howe duality