Probability and Mathematical Physics Seminar

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The directed landscape with boundary

Speaker: Duncan Dauvergne, University of Toronto

Location: Warren Weaver Hall 1302

Date: Friday, October 23, 2026, 11 a.m.

Synopsis:

The directed landscape is a scale-invariant random directed metric on the plane which sits at the center of the KPZ universality class. In this talk, we introduce a version of the directed landscape with a boundary condition (i.e. in `half-space'). We show that the directed landscape in half-space is the common scaling limit of two KPZ models: exponential last passage percolation and coloured TASEP. Based on joint work with Lingfu Zhang.