Counting Maximal Arithmetic Subgroups Mikhail Belolipetsky with an Appendix by Jordan Ellenberg and Akshay Venkatesh
نویسنده
چکیده
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad.
منابع مشابه
Counting Maximal Arithmetic Subgroups Mikhail Belolipetsky with an Appendix by Jordan Ellenberg and Akshay Venkatesh
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad.
متن کاملCounting Maximal Arithmetic Subgroups Mikhail Belolipetsky with an Appendix by Jordan Ellenberg and Akshay Venkatesh
We study the growth rate of the number of maximal arithmetic subgroups of bounded covolumes in a semi-simple Lie group using an extension of the method due to Borel and Prasad. As an application we prove a nonuniform case of a conjecture of Lubotzky et al. on the growth of lattices in higher rank semi-simple Lie group H, which claims that the growth rate is asymptotically equal to the congruenc...
متن کاملMikhail v. Belolipetsky List of Publications
[1] Estimates for the number of automorphisms of a Riemann surface, Sib. Math. J. 38 (1997), no. 5, 860–867. [2] On Wiman bound for arithmetic Riemann surfaces, with Grzegorz Gromadzki, Glasgow Math. J. 45 (2003), 173–177. [3] Cells and representations of right-angled Coxeter groups, Selecta Math., N. S. 10 (2004), 325–339. [4] On volumes of arithmetic quotients of SO(1,n), Ann. Scuola Norm. Su...
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