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Junior Topology
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Erin Bevilacqua, PMA 12.166: A brief introduction to the Poisson boundary
Wednesday, September 20, 2023, 02:00pm - 03:00pm
Different notions of boundaries are useful when studying topological groups. In the case of locally compact simply connected groups, the Poisson (or Furstenberg-Poisson) boundary can be thought of as the objects appearing in the limit of random walks on a group. I'll begin with discussing random walks on groups. Then, I will cover the definitions and motivation for the boundary in the case of discrete/countable groups, proving some theorems relating tail events to harmonic functions along the way.
Location: PMA 12.166

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