We recall some aspects of the representation theory for Lie algebras and how some number theory makes an appearance through characters for modules. We motivate why this occurs by putting this in the setting of vertex operator algebras which are the algebras that naturally arise from the geometry of Conformal Field Theory (or string theory). We discuss how analytic properties can be proved in certain settings by the construction of a modular linear differential equation, including recently in a new setting through joint work with Florencia Orosz Hunziker and Gaywalee Yamskulna.
Why should we expect number theoretic properties to arise in Lie theory and group theory? Sponsored by the Meyer Fund
Tue, Sep. 29 3:30pm (MATH 3…
Topology
Emily Montelius (CU Boulder) Introduction to Topological Data Analysis and seminar organization
Why should we expect number theoretic properties to arise in Lie theory and group theory?