Results 1 to 10 of about 178 (25)

On Fermat's equation over some quadratic imaginary number fields. [PDF]

open access: yesRes Number Theory, 2018
Assuming a deep but standard conjecture in the Langlands programme, we prove Fermat's Last Theorem over $\mathbb Q(i)$. Under the same assumption, we also prove that, for all prime exponents $p \geq 5$, Fermat's equation $a^p+b^p+c^p=0$ does not have non-
Ţurcaş GC.
europepmc   +4 more sources

Degeneration of Hodge structures over Picard modular surfaces [PDF]

open access: yes, 2017
We study variations of Hodge structures over a Picard modular surface, and compute the weights and types of their degenerations through the cusps of the Baily-Borel compactification.
Ancona, Giuseppe
core   +1 more source

On the GL$_{n}$-eigenvariety and a conjecture of Venkatesh [PDF]

open access: yes, 2017
Let π be a cuspidal, cohomological automorphic representation of GL$_{n}$(A). Venkatesh has suggested that there should exist a natural action of the exterior algebra of a certain motivic cohomology group on the π-part of the Betti cohomology (with ...

core   +2 more sources

Robert MacPherson and arithmetic groups [PDF]

open access: yes, 2006
We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces ...
Gunnells, Paul E.
core   +3 more sources

An Eisenstein ideal for imaginary quadratic fields and the Bloch-Kato conjecture for Hecke characters [PDF]

open access: yes, 2007
For certain algebraic Hecke characters chi of an imaginary quadratic field F we define an Eisenstein ideal in a p-adic Hecke algebra acting on cuspidal automorphic forms of GL_2/F.
Agboola   +29 more
core   +2 more sources

Special Values of L-functions for Orthogonal Groups

open access: yes, 2016
This is an announcement of certain rationality results for the critical values of the degree-2n L-functions attached to GL(1) $\times$ SO(n, n) over $\mathbb Q$ for an even positive integer n.
Bhagwat, Chandrasheel, Raghuram, A.
core   +1 more source

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