Algorithms, Tropical Dynamics and Integrable Systems
This talk continues that of Jonathan Ramalheira-Tsu two weeks ago, but its content, though complementary, will be independent of the former talk and self-contained.
Our talk will explore a link between discrete time factorization algorithms for operators and continuous time extensions that are integrable dynamical systems. This link builds on the discrete space-discrete time algorithm for reducing unitary representations into their irreducible factors (as formulated by Robinson, Schensted and Knuth) which plays an important role in the representation theory of Lie groups and quantum mechanics (and which we will briefly review). We will aim to connect the above mentioned link to continuous crystal and random extensions of the integrable systems involved, which are further related to stochastic processes of KPZ type and random matrix theory.
Password: “arizona” (all lower case)