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University of Cambridge > Talks.cam > Junior Algebra and Number Theory seminar > The SL(2,K) action on a tree, its decomposition and higher dimensional generalisations
The SL(2,K) action on a tree, its decomposition and higher dimensional generalisationsAdd to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact Tom Adams. For K a non Archimedean local field, it is known (Ihara) that SL(2,K) decomposes as an amalgam of two copies of SL(2,O_K), and this can be shown by letting the group act on a tree of 2-dimentional lattices up to homothety. A natural question arises: can we decompose SL(n,K) (with n>2) in a similar fashion by letting the group act on a similarly constructed higher dimensional simplicial complex? In this talk, I will present a sketch of the proof of Ihara’s result and start to answer the question related to higher dimensions. This talk is part of the Junior Algebra and Number Theory seminar series. This talk is included in these lists:
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