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Jean-Emile Bourgine : An introduction to shifted quantum groups with an application to string theory

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mercredi 13 octobre 2021 mercredi 13 octobre 2021
+ Google Map Salle 318

A quantum group is the mathematical structure responsible for the integrability of quantum systems, it has been formulated by Drinfeld and Jimbo in 1985. More recently, the refined notion of « shifted quantum groups » has played an important role in algebraic geometry. This subtle modification of the original definition brings more flexibility in the representation theory. In this talk, I will give a brief introduction to shifted quantum groups, and highlight facts that can be used in the study of integrable systems. Then, I will present an application to algebraic engineering, a newly developed technique to describe the low-energy dynamics of brane systems in string theory.


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