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Jacob Greenstein, UC Riverside

Title: Hecke and Artin monoids and their homomorphisms

Abstract: In the present talk we discuss relations between various types of homomorphisms between Hecke and Artin monoids. Our original motivation was based on a striking observation that parabolic projections of Hecke monoids preserve parabolic elements which appeared naturally in the framework of actions of cacti on geometric crystals. We will present several new infinite families of homomorphisms which in some cases provide a complete classification.

 

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