Workshop: Large deviations for the log-Gamma polymer

Speaker
Tom Claeys, UC Louvain

Abstract
I will present a conjecture about large deviations of the partition function of the log-Gamma polymer, based on the study of an underlying signed biorthogonal ensemble. I will show that the conjectured large deviation rate function matches with that of last passage percolation with exponential weights in the zero-temperature limit, and with the lower tail of the Tracy-Widom distribution for moderate deviations. We can nearly prove our result but there is one step in the proof for which we only have heuristic evidence. The talk will be based on joint work with Julian Mauersberger.