A geometric Jacquet functor

We describe the Jacquet module functor on Harish-Chandra modules via geometry.Comment: 10 pages; final version, to appear in Duke Math

Variation of Iwasawa invariants in Hida families

Let r : G_Q -> GL_2(Fpbar) be a p-ordinary and p-distinguished irreducible residual modular Galois representation. We show that the vanishing of the algebraic or analytic Iwasawa mu-invariant of a single modular form lifting r implies the vanishing of the corresponding mu-invariant for all such forms. Assuming that the mu-invariant vanishes, we also give explicit formulas for the difference in the algebraic or analytic lambda-invariants of modular forms lifting r. In particular, our formula shows that the lambda-invariant is constant on branches of the Hida family of r. We further show that our formulas are identical for the algebraic and analytic invariants, so that the truth of the main conjecture of Iwasawa theory for one form in the Hida family of r implies it for the entire Hida family

On a classification of irreducible admissible modulo pp representations of a pp-adic split reductive group

We give a classification of irreducible admissible modulo $p$ representations of a split $p$-adic reductive group in terms of supersingular representations. This is a generalization of a theorem of Herzig.Comment: 25 page

Assessing, demonstrating and capturing the economic value of marine & coastal ecosystem services in the Bay of Bengal Large Marine Ecosystem

The objective of the study was to assess the economic value of ecosystem services in the Bay of Bengal.The manin aim was to support the development of a Strategic Action Plan (SAP). Findings included: economic consequences of ecosystem change; potential economic instruments to strengthen sustainable management; and recommendations on next steps in using economic valuation

On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras

We study the Zariski closure of points in local deformation rings corresponding to potential semi-stable representations with certain prescribed $p$-adic Hodge theoretic properties. We show in favourable cases that the closure is equal to a union of irreducible components of the deformation space. We also study an analogous question for global Hecke algebras.Comment: v3. Minor changes; final version; the title is modifie