Dustin Cartwright, University of Tennessee
"Topology of dual complexes"
While the topology of smooth complex projective varieties has been well-studied from a variety of perspectives, analogous questions about topology over non-Archimedean fields are only recently being investigated. I will talk about what the relevant topology is, as well as the way they can be studied via degenerations and their dual complexes. Then I will explain some results about the topology of dual complexes of degenerations and their relation to the geometry of algebraic varieties.