This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $303,150 to Vanderbilt University's Sponsored Programs Administration Division to conduct research on groups acting on hyperbolic spaces and operator algebras. The key objectives include studying the rigidity properties of acylindrically hyperbolic groups, analyzing groups acting on hyperbolic simplicial complexes, and continuing work on automorphisms of von Neumann algebras and reduced C*-algebras. The project will involve a series of conferences to foster collaboration among experts and students in areas such as group theory, functional analysis, geometry, and dynamical systems. In addition to the research activities, the award includes educational components targeting undergraduate and graduate students. The project period runs from June 1, 2024 to May 31, 2027.
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