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# CMSA Math-Science Literature Lecture: Quantum Groups

## May 4, 2020 @ 3:00 pm - 4:00 pm

**Pavel Etingof **(MIT)

**Title: **Quantum Groups

**Abstract: **The theory of quantum groups developed in mid 1980s from attempts to construct and understand solutions of the quantum Yang-Baxter equation, an important equation arising in quantum field theory and statistical mechanics. Since then, it has grown into a vast subject with profound connections to many areas of mathematics, such as representation theory, the Langlands program, low-dimensional topology, category theory, enumerative geometry, quantum computation, algebraic combinatorics, conformal field theory, integrable systems, integrable probability, and others. I will review some of the main ideas and examples of quantum groups and try to briefly describe some of the applications.