January 23, 2023
4:15PM
-
5:15PM
CH 240
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2023-01-23 16:15:00
2023-01-23 17:15:00
Recruitment Talk -- Integrability, Enumerative Counts, and Opers
Speaker: Peter Koroteev
Title: Integrability, Enumerative Counts, and Opers
Abstract: I will describe how classical and quantum integrability can be understood using the language of algebraic geometry and representation theory. First I will introduce classical many-body systems and quantum spin chains. The former can be described in purely algebraic terms, while the latter can be solved using enumerative algebraic geometry. Then, by studying the properties of so-called (G,q)-opers on a projective line I will connect the two types of integrable models. In the end, some applications of opers to other fields of mathematics like cluster algebras, symplectic duality, etc will be discussed.
CH 240
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2023-01-23 16:15:00
2023-01-23 17:15:00
Recruitment Talk -- Integrability, Enumerative Counts, and Opers
Speaker: Peter Koroteev
Title: Integrability, Enumerative Counts, and Opers
Abstract: I will describe how classical and quantum integrability can be understood using the language of algebraic geometry and representation theory. First I will introduce classical many-body systems and quantum spin chains. The former can be described in purely algebraic terms, while the latter can be solved using enumerative algebraic geometry. Then, by studying the properties of so-called (G,q)-opers on a projective line I will connect the two types of integrable models. In the end, some applications of opers to other fields of mathematics like cluster algebras, symplectic duality, etc will be discussed.
CH 240
America/New_York
public
Speaker: Peter Koroteev
Title: Integrability, Enumerative Counts, and Opers
Abstract: I will describe how classical and quantum integrability can be understood using the language of algebraic geometry and representation theory. First I will introduce classical many-body systems and quantum spin chains. The former can be described in purely algebraic terms, while the latter can be solved using enumerative algebraic geometry. Then, by studying the properties of so-called (G,q)-opers on a projective line I will connect the two types of integrable models. In the end, some applications of opers to other fields of mathematics like cluster algebras, symplectic duality, etc will be discussed.
