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Dear all, Today's speaker at the Analysis and Probability seminar is Leonid Petrov from The University of Virginia. The title of his talk is "Parameter Symmetry" and the abstract is below. The talk will begin at 1:30 PM in MONT 313. You can find information about future A/P talks here: https://nam10.safelinks.protection.outlook.com/?url=https%3A%2F%2Fcalendar.uconn.edu%2F2020%2Fmonth%2F02%2F376%2F&data=02%7C01%7Cuconn_probability-l%40listserv.uconn.edu%7C9cf9f582ff4047b5429908d7bc4f2fc2%7C17f1a87e2a254eaab9df9d439034b080%7C0%7C0%7C637184920609310388&sdata=CmUEe8m1kHMYmMa84yBvQ1hxf7vqPXKTxf62BfqOGG0%3D&reserved=0. Abstract: Many integrable stochastic particle systems in one space dimension (like TASEP or its q-deformations) remain integrable when we equip each particle with its own "speed" parameter. Moreover, the distribution of the particle system displays a certain symmetry in these parameters. I will discuss probabilistic consequences of this symmetry in a number of models including q-TASEP and random polymers. In particular, we discover a new continuous time dynamics preserving the distribution of the q-TASEP. Best, Sean