Upcoming Events
Geometry MMA Seminar: Spaces of Pants Decompositions for Surfaces of Infinite Type
Mar 6, 2023, 10:30 - 11:30 AM
Speaker: Beth Branman, UVA
Title: Spaces of Pants Decompositions for Surfaces of Infinite Type
Abstract: When S is an orientable surface of finite type, the graph of pants decompositions P(S) is well understood, and it provides a combinatorial model for the space of hyperbolic structures of S. When S has infinite type (that is, when Pi_1(S) is infinitely generated), the usual definition of P(S) yields a disconnected graph. In this talk, we introduce a variation of the pants graph for infinite-type surfaces, and we extend several classical results about finite-type pants graphs to the infinite-type setting.
Time: Monday, March 6, 2023 - 10:30am-11:30am
Place: Exploratory Hall, Room 4106
