Shift invariance of half space integrable models

Jimmy He, Massachusetts Institute of Technology
Fine Hall 314

In-Person Talk 

I'll discuss work in progress on shift invariance in a half space setting. The starting point is the colored stochastic six vertex model in a half space, from which we obtain results on the asymmetric simple exclusion process, as well as for the beta polymer through a fusion procedure, both in a half space setting. An application to the asymptotics of a half space analogue of the oriented swap process is also given.