Calendar
Printer-friendly versionThursday, November 16, 2023
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| 4:00pm |
11/16/2023 - 4:00pm Transverse subgroups of semi-simple Lie groups include all discrete subgroups of rank one Lie groups and Anosov and relatively Anosov subgroups of higher rank Lie groups. Every transverse group comes equipped with a family of “geodesic flows’’ associated to linear functionals on the Cartan subspace. The assumption of transversality allows for the construction of well-behaved Patterson-Sullivan measures on the limit set and associated Bowen-Margulis-Sullivan measures on the flows. We discuss a Hopf-Tsuji-Sullivan dichotomy in this context. Finally, we show that relatively Anosov groups live on the divergent side of this dichotomy (Joint work with Tengren Zhang and Andy Zimmer) Location:
KT205
11/16/2023 - 4:00pm Many quantities of interest throughout mathematics are basically Bessel functions of a vector argument. As a result, natural asymptotic questions in various fields can be reduced to understanding the behavior of multivariable Bessel functions as the dimension of the domain grows large. In this talk, I’ll introduce the theory of generalized Bessel functions and describe how these functions form a useful link between subjects as diverse as random matrix theory, harmonic analysis and integrable systems. Then I’ll present a new result that characterizes the high-dimensional asymptotics of generalized Bessel functions by studying the hydrodynamics of associated stochastic processes. Joint work with Jiaoyang Huang (https://arxiv.org/abs/2305.04131). Location:
KT 219
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