For any reductive group $ G $ over a global function field, we use the cohomology of $ G $-
shtukas with multiple modifications and the geometric Satake equivalence to prove the …

For any reductive group G over a global function field, we use the cohomology of G-shtukas
with multiple modifications and the geometric Satake equivalence to prove the global …

We construct and study the moduli of continuous representations of a profinite group with
integral p-adic coefficients. We present this moduli space over the moduli space of …

We establish the Bernstein-centre type of results for the category of mod p representations
of. We treat all the remaining open cases, which occur when p is or. Our arguments carry …

arXiv:1512.08878v1 [math.NT] 30 Dec 2015 Page 1 arXiv:1512.08878v1 [math.NT] 30 Dec
2015 ON THE LIFTING OF HILBERT CUSP FORMS TO HILBERT-SIEGEL CUSP FORMS …

This paper gives a simple method for constructing vector-valued Siegel modular forms from
scalar-valued ones. The method is efficient in producing the siblings of Delta, the smallest …

Pseudocharacters were first introduced by Taylor and Wiles to study congruences of
representations. When A is an algebraically closed field with d! &epsis; A×, the trace gives a …

We show that the algebraic automorphism group of the SL2 (C) character variety of a closed
orientable surface with negative Euler characteristic is a finite extension of its mapping class …

We introduce the notion of $\textit {symplectic determinant laws} $ by analogy with
Chenevier's definition of determinant laws. Symplectic determinant laws are a way to define …

Let p be a rational prime and N a positive integer which is prime to p. Let 𝒲 be the p-adic
weight space for GL 2, ℚ. Let 𝒞 N be the p-adic Coleman–Mazur eigencurve of tame level N …