AbstractThere is a class of $\mathcal{U}_q(\widehat{sl}_2)$ models models where the infinite dimensional evaluation representations lead to Baxter's $TQ=Q+Q$ equation where $Q$ is an entire function rather than a polynomial. I will give a general introduction to the method of solving the Baxter equation in this case
DescriptionThe existence and classification problem for maximal growth distributions on smooth manifolds has garnered much interest in the mathematical community in recent years. Prototypical examples of maximal growth distributions are contact structures on $3$-dimensional manifolds and Engel distributions on $4$-dimensional manifolds. The existence and classification of maximal growth distrib...