Infinite type surfaces and their homeomorphic subsurfaces

Alan McLeay (Université du Luxembourg)

Monday 21st March 16:00-17:00 Maths 110B (speaker in person!) + Online

Abstract

A topological surface is finite type if its fundamental group is finitely generated. On any given finite type surface, there are (up to homeomorphism) finitely many types of essential arc. For infinite type surfaces there may be considerably more types of essential arcs; some more essential than others.

This talk will try to make those last five words less vague. We will also spend some time discussing big mapping class groups, arc complexes, and unicorns.

The talk will be preceded by a tea time at 3:45pm. The Zoom link for the seminar is https://uofglasgow.zoom.us/j/98078798957 and the passcode is the genus of the two-dimensional sphere (4 letters, all lowercase).

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