Universality of Dynamic Processes Using Drinfel'd Twisters

Explore a 44-minute conference talk on the universality of dynamic processes using Drinfel'd twisters, presented by Jeffrey Kuan from Texas A&M University at IPAM's Vertex Models workshop. Delve into the concept of universality in probability and mathematical physics, focusing on recent developments in the Kardar-Parisi-Zhang universality class and Tracy-Widom fluctuations. Examine a new universality result concerning long-time asymptotics of dynamic processes and their relation to the Tracy-Widom distribution. Gain insights into the proof methodology, which employs Markov process duality constructed using Drinfel'd twisters of the quantum group U_q(sl_2). Understand how the orthogonality of duality functions enables asymptotic analysis in this cutting-edge research presented at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.