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SPLITTING FIELDS OF CHARACTERISTIC POLYNOMIALS OF RANDOM ELEMENTS IN ARITHMETIC GROUPS
SPLITTING FIELDS CHARACTERISTIC POLYNOMIALS RANDOM ELEMENTS ARITHMETIC GROUPS
2015/8/26
We discuss rather systematically the principle, implicit in earlier works, that for a “random” element in an arithmetic subgroup of a (split, say) reductive algebraic group over a number field, the sp...
Arithmetic groups with isomorphic finite quotients
Arithmetic groups isomorphic finite quotients Group Theory
2011/9/16
Abstract: Two finitely generated groups have the same set of finite quotients if and only if their profinite completions are isomorphic. Consider the map which sends (the isomorphism class of) an S-ar...
Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups
Large scale geometry compactifications integral Novikov conjectures arithmetic groups
2018/4/20
The original Novikov conjecture concerns the (oriented) homotopy invariance of higher signatures of manifolds and is equivalent to the rational injectivity of the assembly map in surgery theory. The i...
Large scale geometry of arithmetic groups and the integeral novikov conjecture
Large scale geometry arithmetic groups integeral novikov conjecture
2018/4/20
The goal is to discuss the integral Novikov conjecture in K-theory and L-theory for torsion free groups;(1) arithmetic subgroups of linear algebraic groups
G over Q (2) S-arithmetic subgroups of line...