Add to ORKGIf two motives are congruent, is it the case that the special values of their respective \(L\)-functions are congruent, or - more precisely - can the formula predicting special values of motivic \(L\)-functions be interpolated in \(p\)-adic families of motives? I will explain how the formalism of the Weight-Monodromy filtration for \(p\)-adic families of Galois representations sheds light on this question (and suggests a perhaps surprising answer).Non UBCUnreviewedAuthor affiliation: Universite Paris-SudFacult
One approach to studying the p-adic behavior of L-functions relies on understanding p-adic propertie...
International audienceWe develop a new method for proving algebraic independence of G-functions. Our...
International audienceWe define a theory of étale motives over a noetherian scheme. This provides a ...
If two motives are congruent, is it the case that the special values of their respective \(L\)-func...
This article investigates congruences of $\mathfrak{p}$-adic representations arising from effective ...
gave two introductory lectures on the Langlands correspondences and `-adic Galois representations. C...
Given a (pure) motive M over a number field F and a non-archimedean valuation v on F , we state an a...
P-adic L-functions of Gilbert modular forms have been constructed, general hypotheses for the exista...
This thesis studies the construction of p-adic L-functions associated to motives over Q and, in part...
We compute Benois L-invariants of weight 1 cuspforms and of their adjoint representations and show h...
AbstractWe associate weight complexes of (homological) motives, and hence Euler characteristics in t...
This thesis studies the construction of $p$-adic $L$-functions associated to motives over $\Q$ and, ...
The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomo...
This paper proposes a conceptual unification of Beilinson's conjecture about special L-values for mo...
International audienceWe develop a new method for proving algebraic independence of $G$-functions. O...
One approach to studying the p-adic behavior of L-functions relies on understanding p-adic propertie...
International audienceWe develop a new method for proving algebraic independence of G-functions. Our...
International audienceWe define a theory of étale motives over a noetherian scheme. This provides a ...
If two motives are congruent, is it the case that the special values of their respective \(L\)-func...
This article investigates congruences of $\mathfrak{p}$-adic representations arising from effective ...
gave two introductory lectures on the Langlands correspondences and `-adic Galois representations. C...
Given a (pure) motive M over a number field F and a non-archimedean valuation v on F , we state an a...
P-adic L-functions of Gilbert modular forms have been constructed, general hypotheses for the exista...
This thesis studies the construction of p-adic L-functions associated to motives over Q and, in part...
We compute Benois L-invariants of weight 1 cuspforms and of their adjoint representations and show h...
AbstractWe associate weight complexes of (homological) motives, and hence Euler characteristics in t...
This thesis studies the construction of $p$-adic $L$-functions associated to motives over $\Q$ and, ...
The theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomo...
This paper proposes a conceptual unification of Beilinson's conjecture about special L-values for mo...
International audienceWe develop a new method for proving algebraic independence of $G$-functions. O...
One approach to studying the p-adic behavior of L-functions relies on understanding p-adic propertie...
International audienceWe develop a new method for proving algebraic independence of G-functions. Our...
International audienceWe define a theory of étale motives over a noetherian scheme. This provides a ...