Studies the Riemann mapping theorem, meromorphic and entire functions, topics in analytic function theory. Prerequisite: MATH 7340 or equivalent.

Seminars

Leonid Petrov (UVA) - Yang-Baxter equation and symmetric rational functions

Yang-Baxter equation and symmetric rational functions

I will talk about new symmetric rational functions arising in the study of inhomogeneous higher spin six vertex model - an exactly solvable stochastic system with numerous nice degenerations. These symmetric rational functions generalize the Hall-Littlewood polynomials and share many of their nice properties, including Cauchy summation identities and explicit symmetrization formulas. These properties directly follow from the Yang-Baxter equation. I will also discuss work in progress on Macdonald-like difference operators associated to these symmetric rational functions.

Leonid PetrovYang-Baxter equation and symmetric rational functions

I will talk about new symmetric rational functions arising in the study of inhomogeneous higher spin six vertex model - an exactly solvable stochastic system with numerous nice degenerations. These symmetric rational functions generalize the Hall-Littlewood polynomials and share many of their nice properties, including Cauchy summation identities and explicit symmetrization formulas. These properties directly follow from the Yang-Baxter equation. I will also discuss work in progress on Macdonald-like difference operators associated to these symmetric rational functions.

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Jason Starr
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Aaron Silberstein (U Chicago) - TBA

Anthony Várilly-Alvarado (Rice) - TBA

Anthony Várilly-Alvarado
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MATH 7350

Studies the Riemann mapping theorem, meromorphic and entire functions, topics in analytic function theory. Prerequisite: MATH 7340 or equivalent.