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Title:  A vertex model for LLT polynomials and k-tilings of the Aztec diamond

Speaker: Andrew Gitlin Affiliation: UC Berkeley Room/Zoom: MC5479 or for Zoom link contact Logan Crew or Olya Mandelshtam

Abstract:

We describe a Yang-Baxter integrable colored vertex model, from which we construct a class of partition functions that equal the LLT polynomials of Lascoux, Leclerc, and Thibon. Using the vertex model formalism, we can prove many properties of these polynomials.