This monograph explores the geometry of the neighborhood Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic staff over a neighborhood box when it comes to the advanced twin team and the Weil-Deligne crew. For p-adic fields, this conjecture has now not been proved; however it has been subtle to an in depth choice of (conjectural) relationships among p-adic illustration conception and geometry at the area of p-adic illustration idea and geometry at the area of p-adic Langlands parameters. This booklet offers and advent to a few glossy geometric tools in illustration conception. it's addressed to graduate scholars and study staff in illustration idea and in automorphic forms.
Read Online or Download The Langlands Classification and Irreducible Characters for Real Reductive Groups (Progress in Mathematics) PDF
Best Abstract books
This conventional remedy of summary algebra is designed for the actual wishes of the math instructor. Readers should have entry to a working laptop or computer Algebra approach (C. A. S. ) corresponding to Maple, or at minimal a calculator corresponding to the TI 89 with C. A. S. services. comprises “To the instructor” sections that Draw connections from the quantity thought or summary algebra into account to secondary arithmetic.
A person who has studied summary algebra and linear algebra as an undergraduate can comprehend this booklet. the 1st six chapters offer fabric for a primary direction, whereas the remainder of the booklet covers extra complicated subject matters. This revised variation keeps the readability of presentation that used to be the hallmark of the former variations.
This is an advent to the speculation of quantum teams with emphasis at the astounding connections with knot idea and Drinfeld's contemporary basic contributions. It offers the quantum teams connected to SL2 in addition to the fundamental suggestions of the speculation of Hopf algebras. insurance additionally specializes in Hopf algebras that produce options of the Yang-Baxter equation and offers an account of Drinfeld's based therapy of the monodromy of the Knizhnik-Zamolodchikov equations.
Bifurcation idea experiences how the constitution of suggestions to equations alterations as parameters are various. the character of those alterations relies either at the variety of parameters and at the symmetries of the equations. quantity I discusses how singularity-theoretic recommendations relief the knowledge of transitions in multiparameter platforms.
Additional resources for The Langlands Classification and Irreducible Characters for Real Reductive Groups (Progress in Mathematics)