Results 1 to 10 of about 34 (32)
ON THE COHOMOLOGY OF TORELLI GROUPS
Forum of Mathematics, Pi, 2020 We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds $\#^{g}S^{n}\times S^{n}$ relative to a disc in a stable range, for $2n\geqslant 6$.
ALEXANDER KUPERS, OSCAR RANDAL-WILLIAMS
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Profinite invariants of arithmetic groups
Forum of Mathematics, Sigma, 2020 We prove that the sign of the Euler characteristic of arithmetic groups with the congruence subgroup property is determined by the profinite completion. In contrast, we construct examples showing that this is not true for the Euler characteristic itself ...
Holger Kammeyer +3 more
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TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
Forum of Mathematics, Sigma, 2016 We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representations with coefficients in these Hecke algebras and apply this technique to ...
JAMES NEWTON, JACK A. THORNE
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DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
Forum of Mathematics, Pi, 2019 We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$.
AKSHAY VENKATESH
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COMPACTIFICATIONS OF SUBSCHEMES OF INTEGRAL MODELS OF SHIMURA VARIETIES
Forum of Mathematics, Sigma, 2018 We study several kinds of subschemes of mixed characteristic models of Shimura varieties which admit good (partial) toroidal and minimal compactifications, with familiar boundary stratifications and formal local structures, as if they were Shimura ...
KAI-WEN LAN, BENOÎT STROH
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Cohomologie de GL_2(Z[i,1/2]) à coefficients dans F_2
, 2007 Classification AMS :11F75, 20J06, 55T10, 55N25The aim of this Phd thesis was to compute H*(BGL_2(Z[i,1/2]),F_2). This cohomology ring appears in a certain version of the conjecture of Lichtenbaum and Quillen, asserting that the cohomology modulo 2 of the
Weiss, Nicolas
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On the non-vanishing of the first Betti number of hyperbolic three manifolds
, 2004 . We show the non-vanishing of cohomology groups of sufficiently small congruence lattices in SL(1,D), where D is a quaternion division algebra defined over a number field E contained inside a solvable extension of a totally real number field.As a ...
Rajan, C. S., C. S. Rajan
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Rigid meromorphic cocycles for orthogonal groups
Forum of Mathematics, SigmaRigid meromorphic cocycles are defined in the setting of orthogonal groups of arbitrary real signature and constructed in some instances via a p-adic analogue of Borcherds’ singular theta lift.
Lennart Gehrmann +2 more
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Vascular Malformations and Intractable Epilepsy
, 1994 A retrospective study of 20 consecutive patients with cerebral vascular malformations who were treated surgically for medically refractory partial epilepsy is reported from the Departments of Neurology and Neurologic Surgery, Mayo Clinic, Rochester ...
J Gordon Millichap, Millichap, J. Gordon
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L-invariants for cohomological representations of PGL(2) over arbitrary number fields
Forum of Mathematics, SigmaLet $\pi $ be a cuspidal, cohomological automorphic representation of an inner form G of $\operatorname {{PGL}}_2$ over a number field F of arbitrary signature. Further, let $\mathfrak {p}$ be a prime of F such that G is split at
Lennart Gehrmann, Maria Rosaria Pati
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