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George Mason University
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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