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Derived Langlands

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Derived LanglandsThe Langlands Programme is one of the most important areas in modern pure mathematics. The importance of this volume lies in its potential to recast many aspects of the programme in an entirely new context. For example, the morphisms in the monomial category of a locally p adic Lie group have a distributional description, due to Bruhat in his thesis. Admissible representations in the programme are often treated via convolution algebras of

The Langlands Programme is one of the most important areas in modern pure mathematics. The importance of this volume lies in its potential to recast many aspects of the programme in an entirely new context. For example, the morphisms in the monomial category of a locally p-adic Lie group have a distributional description, due to Bruhat in his thesis. Admissible representations in the programme are often treated via convolution algebras of distributions and representations of Hecke algebras. The monomial embedding, introduced in this book, elegantly fits together these two uses of distribution theory. The author follows up this application by giving the monomial category treatment of the Bernstein Centre, classified by Deligne-Bernstein-Zelevinsky.

This book gives a new categorical setting in which to approach well-known topics. Therefore, the context used to explain examples is often the more generally accessible case of representations of finite general linear groups. For example, Galois base-change and epsilon factors for locally p-adic Lie groups are illustrated by the analogous Shintani descent and Kondo-Gauss sums, respectively. General linear groups of local fields are emphasized. However, since the philosophy of this book is essentially that of homotopy theory and algebraic topology, it includes a short appendix showing how the buildings of Bruhat-Tits, sufficient for the general linear group, may be generalised to the tom Dieck spaces (now known as the Baum-Connes spaces) when G is a locally p-adic Lie group.

The purpose of this monograph is to describe a functorial embedding of the category of admissible k-representations of a locally profinite topological group G into the derived category of the additive category of the admissible k-monomial module category. Experts in the Langlands Programme may be interested to learn that when G is a locally p-adic Lie group, the monomial category is closely related to the category of topological modules over a sort of enlarged Hecke algebra with generators corresponding to characters on compact open modulo the centre subgroups of G. Having set up this functorial embedding, how the ingredients of the celebrated Langlands Programme adapt to the context of the derived monomial module category is examined. These include automorphic representations, epsilon factors and L-functions, modular forms, Weil-Deligne representations, Galois base change and Hecke operators.

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SKU: 74945048371

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Color: 06 - Black
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Love the convenience of having what I need with me for the day!
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molle polzin
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This is a great little purse. Great size, sturdy. Love the guitar and smaller strap. The only thing I am a little annoyed with is that there is a big pocket on the inside (opposite of the card holder pocket) that sticks out too much and you have to push it back each time to get to the stuff in the middle compartment. Otherwise, it's cute.
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C. B. Krieger
Cuba, US
★★★★★ 5
This small purse can carry a lot
Color: 05 - Wine Red, Color: 05 - Wine Red
This small purse is not only very versitle but is holds a lot. It comes with two straps - one that can easily make the bag become a cross body and the other for hand/wrist holding. Both of these straps have the "fancy" metal loop attachments - i.e. just push the loop where you need it to go, and it will open, press to get "over" the connection and then the loop will close -you may wish to magnify one or some of my pictures to get a closer look at what I mean. The purse has a seperate front pocket for your phone or other item; with a magnitized clasp. There is also a zippered flat pocket on the other side of the purse for other items. The inside of the purse iteself has 8 slots for cards/ids - again you may wish to magnify my pictures to see this. Behind the flap for the cards, there is a pocket/section, which mirrors the other pocket section on the other side of the purse - plus you have the main area of the purse. You can even just make this a purse a clutch but not attaching either of the straps. Making this purse able to hold a lot and very versitile to adapt to/compliment any outfit.
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Brian Zachritz
Charlottesville, US
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Color: 05 - Wine Red, Color: 05 - Wine Red
Worn for my school formal, material was better than I expected. I used the solid color strap and it was just the right thickness and length. Pockets fit everything nicely. Places for cards and cash. And room for many keychains. I am actually obsessed and I use it daily. Came quickly, but I paid a little extra for it. Worth the money, for sure.
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