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Topology/Geometry Seminar

Complex-hyperbolic Kleinian groups of large critical exponents

Beibei Liu (MIT)

Location:  Hill Center, Room 705
Date & time: Tuesday, 11 October 2022 at 4:00PM - 5:00PM

Using complex line arrangements, we construct a sequence of discrete isometry groups of the complex-hyperbolic plane whose critical exponents are strictly smaller than 4 but converge to 4. This shows there is no gap in the values of critical exponents for the complex-hyperbolic Kleinian group.

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