Surface quotients of hyperbolic buildings
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Mon, 10/05/2010 15:45 |
Anne Thomas (Oxford) |
Topology Seminar  |
L3 |
| Bourdon's building is a negatively curved 2-complex built out of hyperbolic right-angled polygons. Its automorphism group is large (uncountable) and remarkably rich. We study, and mostly answer, the question of when there is a discrete subgroup of the automorphism group such that the quotient is a closed surface of genus g. This involves some fun elementary combinatorics, but quickly leads to open questions in group theory and number theory. This is joint work with David Futer. | |||