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Event

Arya Vadnere (University at Buffalo)

Wednesday, April 2, 2025 16:00to17:00
Burnside Hall Room 920, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA

Title: Gromov boundary of the Grand Arc Graph

Abstract: In 1999, E. Klarreich found a very intriguing correspondence between the Gromov boundary of the curve graph for closed surfaces (a very GGT object) with the space of ending laminations on the surface (a very geometric object). Since then, Hamendstadt, Schleimer and Pho-On have thought about various different proofs for this result, and generalizations to the arc graph / the arc-and-curve graph for finite-type surfaces. The grand arc graph is a type of arc graph associated with certain infinite-type surfaces, which is also an infinite-diameter hyperbolic graph. In this talk, we shall talk about ways to define laminations for infinite-type surfaces "that should correspond to points at infinity in the Grand arc graph".

We will gather for teatime in the lounge after the talk.

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