COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Distance in the pants graph and applications to hyperbolic geometry

## Distance in the pants graph and applications to hyperbolic geometryAdd to your list(s) Download to your calendar using vCal - Mehdi Yazdi (KCL)
- Wednesday 06 March 2024, 16:00-17:00
- MR13.
If you have a question about this talk, please contact Oscar Randal-Williams. The pants graph of a compact orientable surface S, defined by Hatcher and Thurston, is a simplicial graph associated with S. Given two pants decompositions of a compact orientable surface S, we give an upper bound for their distance in the pants graph that depends logarithmically on their intersection number and polynomially on the Euler characteristic of S. As a consequence, we find an upper bound on the volume of the convex core of a maximal cusp (which is a hyperbolic structures on S ×R where given pants decompositions of the conformal boundary are pinched to annular cusps). We also deduce similar upper bounds for distance in the Teichmuller space with the Weil-Petersson metric. This is joint work with Marc Lackenby. This talk is part of the Differential Geometry and Topology Seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Differential Geometry and Topology Seminar
- Hanchen DaDaDash
- Interested Talks
- MR13
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsClinician Engineer Hub - Winter Exchange 2023 Leverhulme CFI CJBS Events## Other talksQuantum Statistical Query Learning Title TBC LMB Seminar: Title TBC The First Lego League - Empowering the Future LMB Seminar: Title TBC |