A geometric perspective on the Breuil–Mézard conjecture
… Our aim in this paper is to revisit the Breuil–Mézard conjecture [8] from a geometric point of
view. Let us explain what we mean by this. First recall that the … Our goal is to both explain and
refine the Breuil–Mézard conjecture in these terms, by identifying the irreducible components of
the various rings involved, in representation-theoretic terms, as well as to determine their
multiplicities. To be somewhat more precise, after recalling some background material in ğ 2, in ğ
3 we consider the case of two-dimensional representations of GQp , as … Finally, in ğ 5, we …
view. Let us explain what we mean by this. First recall that the … Our goal is to both explain and
refine the Breuil–Mézard conjecture in these terms, by identifying the irreducible components of
the various rings involved, in representation-theoretic terms, as well as to determine their
multiplicities. To be somewhat more precise, after recalling some background material in ğ 2, in ğ
3 we consider the case of two-dimensional representations of GQp , as … Finally, in ğ 5, we …
Let unitary groups. We deduce an unconditional result in the case of two-dimensional potentially Barsotti–Tate representations.
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