Deformation Theory and Local-Global Compatibility of Langlands Correspondences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Deformation Theory and Local-Global Compatibility of Langlands Correspondences write by Martin Luu. This book was released on 2015-10-27. Deformation Theory and Local-Global Compatibility of Langlands Correspondences available in PDF, EPUB and Kindle. The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.
Deformation Theory and Local-global Compatibility of Langlands Correspondences
Deformation Theory and Local-global Compatibility of Langlands Correspondences - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Deformation Theory and Local-global Compatibility of Langlands Correspondences write by Martin T. Luu. This book was released on 2015. Deformation Theory and Local-global Compatibility of Langlands Correspondences available in PDF, EPUB and Kindle. The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.
The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup
The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup write by U. Meierfrankenfeld. This book was released on 2016-06-21. The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup available in PDF, EPUB and Kindle. Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be any subgroup of G with S≤L, Op(L)≠1 and Q⋬L. In this paper the authors determine the action of L on the largest elementary abelian normal p-reduced p-subgroup YL of L.
Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities write by Bart Bories. This book was released on 2016-06-21. Igusa's $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities available in PDF, EPUB and Kindle. In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa's p-adic and the motivic zeta function. In the p-adic case, this is, for a polynomial f∈Z[x,y,z] satisfying f(0,0,0)=0 and non-degenerate with respect to its Newton polyhedron, we show that every pole of the local p-adic zeta function of f induces an eigenvalue of the local monodromy of f at some point of f−1(0)⊂C3 close to the origin. Essentially the entire paper is dedicated to proving that, for f as above, certain candidate poles of Igusa's p-adic zeta function of f, arising from so-called B1-facets of the Newton polyhedron of f, are actually not poles. This turns out to be much harder than in the topological setting. The combinatorial proof is preceded by a study of the integral points in three-dimensional fundamental parallelepipeds. Together with the work of Lemahieu and Van Proeyen, this main result leads to the Monodromy Conjecture for the p-adic and motivic zeta function of a non-degenerate surface singularity.
Nil Bohr-Sets and Almost Automorphy of Higher Order
Nil Bohr-Sets and Almost Automorphy of Higher Order - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nil Bohr-Sets and Almost Automorphy of Higher Order write by Wen Huang. This book was released on 2016-04-26. Nil Bohr-Sets and Almost Automorphy of Higher Order available in PDF, EPUB and Kindle. Two closely related topics, higher order Bohr sets and higher order almost automorphy, are investigated in this paper. Both of them are related to nilsystems. In the first part, the problem which can be viewed as the higher order version of an old question concerning Bohr sets is studied: for any d∈N does the collection of {n∈Z:S∩(S−n)∩…∩(S−dn)≠∅} with S syndetic coincide with that of Nild Bohr0 -sets? In the second part, the notion of d -step almost automorphic systems with d∈N∪{∞} is introduced and investigated, which is the generalization of the classical almost automorphic ones.
