Gustav Lehrer (University of Sydney) Friday 22 March, 12-1pm, Place: Carslaw 375 Title: The Temperley-Lieb tangle category of type B and some infinite dimensional representations of quantum sl2 Abstract: I shall present an equivalence of categories between the type B Temperley-Lieb category, realised as a subquotient of the classical category of unoriented tangles, and a category of projective infinite dimensional representations of quantum sl2. This is joint work with Ruibin Zhang and Kenji Iohara.