Hidden symmetries of last passage percolation and directed polymers

Hidden symmetries of last passage percolation and directed polymers

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Duncan Dauvergne, Princeton

Planar last passage percolation and directed polymers with an integrable structure coming from either the RSK correspondence or the geometric RSK correspondence exhibit a certain Markovian structure. I will show how to combine this Markovian structure with basic translation and reflection invariance properties to produce new and interesting symmetries of these models.