Amritanshu Prasad: A Timed Version of the Plactic Monoid
Channel: Amritanshu Prasad
Date: 2020-05-22

Lascoux and Schutzenberger introduced the plactic monoid as a tool to prove the Littlewood-Richardson rule. The plactic monoid is the quotient of the free monoid on an ordered alphabet modulo Knuth relations. In this talk I will explain how their theory can be generalized to timed words, which are words where each letter occurs for a positive amount of time rather than discretely. This generalization gives an organic approach to piecewise-linear interpolations of correspondences involving semi-standard Young tableaux. This talk is based on the arxiv preprint arXiv:1806.04393.