Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Journals
  3. Journal of the Institute of Mathematics of Jussieu
  4. Volume 15
Journal Home
Refine listing

Refine listing

Access:
Publication date:

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×
< Back to all issues

Volume 15 - October 2016

Contents

Page 2 of 2

Research Article

  • THE DERIVED CATEGORY OF AN ÉTALE EXTENSION AND THE SEPARABLE NEEMAN–THOMASON THEOREM

  • Part of:
  • Paul Balmer
  • Published online by Cambridge University Press:
    12 December 2014, pp. 613-623
    • Article
      • You have access
    • PDF
    • Export citation

  • We prove that étale morphisms of schemes yield separable extensions of derived categories. We then generalize the Neeman–Thomason localization theorem to separable extensions of triangulated categories.

  • EQUIVARIANT CALCULUS OF FUNCTORS AND$\mathbb{Z}/2$-ANALYTICITY OF REAL ALGEBRAIC $K$-THEORY

  • Part of:
  • Emanuele Dotto
  • Published online by Cambridge University Press:
    01 April 2015, pp. 829-883

  • We define a theory of Goodwillie calculus for enriched functors from finite pointed simplicial $G$-sets to symmetric $G$-spectra, where $G$ is a finite group. We extend a notion of $G$-linearity suggested by Blumberg to define stably excisive and ${\it\rho}$-analytic homotopy functors, as well as a $G$-differential, in this equivariant context. A main result of the paper is that analytic functors with trivial derivatives send highly connected $G$-maps to $G$-equivalences. It is analogous to the classical result of Goodwillie that ‘functors with zero derivative are locally constant’. As the main example, we show that Hesselholt and Madsen’s Real algebraic $K$-theory of a split square zero extension of Wall antistructures defines an analytic functor in the $\mathbb{Z}/2$-equivariant setting. We further show that the equivariant derivative of this Real $K$-theory functor is $\mathbb{Z}/2$-equivalent to Real MacLane homology.

Front Cover (OFC, IFC) and matter

  • JMJ volume 15 Issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    04 March 2016, pp. f1-f2
    • Article
      • You have access
    • PDF
    • Export citation

  • JMJ volume 15 Issue 4 Cover and Front matter

  • Published online by Cambridge University Press:
    14 September 2016, pp. f1-f2
    • Article
      • You have access
    • PDF
    • Export citation

Research Article

Back Cover (OBC, IBC) and matter

  • JMJ volume 15 Issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    04 March 2016, pp. b1-b6
    • Article
      • You have access
    • PDF
    • Export citation

Research Article

  • GEOMETRIC TAMELY RAMIFIED LOCAL THETA CORRESPONDENCE IN THE FRAMEWORK OF THE GEOMETRIC LANGLANDS PROGRAM

  • Part of:
  • Banafsheh Farang-Hariri
  • Published online by Cambridge University Press:
    18 February 2015, pp. 625-671

  • This paper deals with the geometric local theta correspondence at the Iwahori level for dual reductive pairs of type II over a non-Archimedean field $F$ of characteristic $p\neq 2$ in the framework of the geometric Langlands program. First we construct and study the geometric version of the invariants of the Weil representation of the Iwahori-Hecke algebras. In the particular case of $(\mathbf{GL}_{1},\mathbf{GL}_{m})$ we give a complete geometric description of the corresponding category. The second part of the paper deals with geometric local Langlands functoriality at the Iwahori level in a general setting. Given two reductive connected groups $G$ and $H$ over $F$, and a morphism ${\check{G}}\times \text{SL}_{2}\rightarrow \check{H}$ of Langlands dual groups, we construct a bimodule over the affine extended Hecke algebras of $H$ and $G$ that should realize the geometric local Arthur–Langlands functoriality at the Iwahori level. Then, we propose a conjecture describing the geometric local theta correspondence at the Iwahori level constructed in the first part in terms of this bimodule, and we prove our conjecture for pairs $(\mathbf{GL}_{1},\mathbf{GL}_{m})$.

Front Cover (OFC, IFC) and matter

  • JMJ volume 15 Issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    25 May 2016, pp. f1-f2
    • Article
      • You have access
    • PDF
    • Export citation

  • JMJ volume 15 Issue 1 Cover and Front matter

  • Published online by Cambridge University Press:
    26 November 2015, pp. f1-f2
    • Article
      • You have access
    • PDF
    • Export citation

Back Cover (OBC, IBC) and matter

  • JMJ volume 15 Issue 4 Cover and Back matter

  • Published online by Cambridge University Press:
    14 September 2016, pp. b1-b7
    • Article
      • You have access
    • PDF
    • Export citation

  • JMJ volume 15 Issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    25 May 2016, pp. b1-b7
    • Article
      • You have access
    • PDF
    • Export citation

  • JMJ volume 15 Issue 1 Cover and Back matter

  • Published online by Cambridge University Press:
    26 November 2015, pp. b1-b2
    • Article
      • You have access
    • PDF
    • Export citation

Page 2 of 2