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 > Junior Algebra/Logic/Number Theory seminar > Discrete and free two-generated subgroups of SL2

## Discrete and free two-generated subgroups of SL2Add to your list(s) Download to your calendar using vCal - Matthew Conder, University of Cambridge
- Friday 25 January 2019, 15:00-16:00
- CMS, MR14.
If you have a question about this talk, please contact Stacey Law. Two-generated subgroups of SL(2,R) have been widely studied in the literature, using the action of SL(2,R) on the hyperbolic plane via MÃ¶bius transformations. In particular, there exists a practical algorithm which, given any two elements of SL(2,R), determines after finitely many steps whether or not the subgroup they generate is discrete and free of rank two. Does such an algorithm exist for SL2 defined over other locally compact fields? In this talk we answer this question for the case of a non-archimedean local field K. Using the action of the group SL(2,K) on the Bruhat-Tits tree, we construct an original and practical algorithm which determines after finitely many steps whether or not any given two-generated subgroup of SL(2,K) is discrete and free of rank two. This talk is part of the Junior Algebra/Logic/Number Theory seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR14
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Interested Talks
- Junior Algebra/Logic/Number Theory seminar
- School of Physical Sciences
- bld31
- ndb35's list
Note that ex-directory lists are not shown. |
## Other listsImagine 2017 Departmental Seminars in History and Philosophy of Science Single Cell seminars at the Wellcome Genome Campus## Other talksGender and the Colonial Labour Market in Southern Rhodesia, 1890-1980 Cross-language speech perception: how listening to foreign speech changes over life Intelligence and the frontal lobes Negotiating history: contingency, canonicity and case studies The Class Ceiling: Why it Plays to be Privileged Observation and Intervention Incentives in Causal Influence Diagrams: Towards an Understanding of Powerful Machine Learning Systems |