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On $L$-Packets for Inner Forms of $SL_n$

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Release : 2012
Genre : Mathematics
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Book Rating : 643/5 ( reviews)

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Book Synopsis On $L$-Packets for Inner Forms of $SL_n$ by : Kaoru Hiraga

Download or read book On $L$-Packets for Inner Forms of $SL_n$ written by Kaoru Hiraga. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: The theory of $L$-indistinguishability for inner forms of $SL_2$ has been established in the well-known paper of Labesse and Langlands (L-indistinguishability forSL$(2)$. Canad. J. Math. 31 (1979), no. 4, 726-785). In this memoir, the authors study $L$-indistinguishability for inner forms of $SL_n$ for general $n$. Following the idea of Vogan in (The local Langlands conjecture. Representation theory of groups and algebras, 305-379, Contemp. Math. 145 (1993)), they modify the $S$-group and show that such an $S$-group fits well in the theory of endoscopy for inner forms of $SL_n$.

Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples

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Release : 2022-04-08
Genre : Mathematics
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Book Rating : 174/5 ( reviews)

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Book Synopsis Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples by : Clifton Cunningham

Download or read book Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples written by Clifton Cunningham. This book was released on 2022-04-08. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.

Representations of Reductive p-adic Groups

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Release : 2019-04-16
Genre : Mathematics
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Book Rating : 284/5 ( reviews)

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Book Synopsis Representations of Reductive p-adic Groups by : Anne-Marie Aubert

Download or read book Representations of Reductive p-adic Groups written by Anne-Marie Aubert. This book was released on 2019-04-16. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.

Arbeitstagung Bonn 2013

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Release : 2016-11-11
Genre : Mathematics
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Book Rating : 481/5 ( reviews)

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Book Synopsis Arbeitstagung Bonn 2013 by : Werner Ballmann

Download or read book Arbeitstagung Bonn 2013 written by Werner Ballmann. This book was released on 2016-11-11. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung.

On the Shape of a Pure $O$-Sequence

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Release : 2012
Genre : Mathematics
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Book Rating : 108/5 ( reviews)

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Book Synopsis On the Shape of a Pure $O$-Sequence by : Mats Boij

Download or read book On the Shape of a Pure $O$-Sequence written by Mats Boij. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: A monomial order ideal is a finite collection X of (monic) monomials such that, whenever M∈X and N divides M, then N∈X. Hence X is a poset, where the partial order is given by divisibility. If all, say t t, maximal monomials of X have the same degree, then X is pure (of type t). A pure O-sequence is the vector, h_=(h0=1,h1,...,he), counting the monomials of X in each degree. Equivalently, pure O-sequences can be characterized as the f-vectors of pure multicomplexes, or, in the language of commutative algebra, as the h h-vectors of monomial Artinian level algebras. Pure O-sequences had their origin in one of the early works of Stanley's in this area, and have since played a significant role in at least three different disciplines: the study of simplicial complexes and their f f-vectors, the theory of level algebras, and the theory of matroids. This monograph is intended to be the first systematic study of the theory of pure O-sequences.

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