The KPZ universality class includes random growing interfaces, which, after rescaling, are conjectured to converge to the KPZ fixed point. The latter is a Markov process, which has been characterized through the exact solution of TASEP, a particular model in the class. The KPZ equation plays a special role and is conjectured to be the only model connecting the Edwards-Wilkinson (Gaussian) and the KPZ fixed points. In the talk, I will introduce the KPZ fixed point and review recent progress on the KPZ universality.
KPZ universality of random growing interfaces
Nov. 04, 2021 11pm (Zoom)
Noncomm Geometry
Yining Zhang (CU Boulder)
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In this talk, I will discuss the curved Koszul duality for associative algebras presented by quadratic-linear-constant (QLC) relations. Let A be a QLC algebra, the Koszul dual coalgebra of the associated quadratic algebra qA is a curved DG coalgebra. Moreover, this curved DG coalgebra gives rise to resolutions of A which can be used to compute the Hochschild and cyclic homology of A. I will describe the cyclic (co)homology of a QLC algebra and its Koszul dual curved DG algebra, and extend a result due to Feigin and Tsygan.
KPZ universality of random growing interfaces