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Seminars

Colloquium

Random growth via many-body system: a look at the KPZ equation through the lens of delta Bose gas

2025/12/04 (Thu.) 15:30~16:30
  • Date : 2025/12/04 (Thu.) 15:30~16:30
  • Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
  • Speaker : Li-Cheng Tsai (University of Utah)
  • Abstract : Proposed by Kardar, Parisi, and Zhang in 1986, the KPZ equation is a stochastic PDE central to describing a large class of models of random growth and beyond. Among the many interesting properties that the KPZ equation exhibits is its stochastic integrability. In this talk, I will review one way of understanding the integrability via a stochastic/quantum many-body system, the delta Bose gas. I will explain how the latter helps understand the KPZ equation, particularly its tail probabilities and limit shapes.
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