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Macdonald polynomials technology

Yegor Zenkevich
Schedule: 
Tuesday, January 21, 2020 - 14:30 to 15:30
Thursday, January 23, 2020 - 14:30 to 15:30
Tuesday, January 28, 2020 - 14:30 to 15:30
Location: 
A-136
Abstract: 

In this minicourse we will study the basics of Macdonald polynomials
and quantum Ruijsenaars-Schneider integrable system associated with
them. We will start with Schur symmetric functions and then try to
understand how they are deformed into Macdonald polynomials. We will
also consider some generalizations of the Ruijsenaars-Schneider system
and its relations to supersymmetric gauge theories, representation
theory and algebraic geometry.

The audience is supposed to partake in the exercises and discussions
during the course.

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