Motivic Integration and the Regular Shalika Germ

Motivic Integration and the Regular Shalika Germ PDF Author: Elliot Wilson Lawes
Publisher:
ISBN:
Category :
Languages : en
Pages : 130

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Motivic Integration and the Regular Shalika Germ

Motivic Integration and the Regular Shalika Germ PDF Author: Elliot Wilson Lawes
Publisher:
ISBN:
Category :
Languages : en
Pages : 130

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Book Description


Women in Numbers Europe

Women in Numbers Europe PDF Author: Marie José Bertin
Publisher: Springer
ISBN: 331917987X
Category : Mathematics
Languages : en
Pages : 215

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Book Description
Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.

Dissertation Abstracts International

Dissertation Abstracts International PDF Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 806

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Schubert Calculus and Its Applications in Combinatorics and Representation Theory

Schubert Calculus and Its Applications in Combinatorics and Representation Theory PDF Author: Jianxun Hu
Publisher: Springer Nature
ISBN: 9811574510
Category : Mathematics
Languages : en
Pages : 367

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Book Description
This book gathers research papers and surveys on the latest advances in Schubert Calculus, presented at the International Festival in Schubert Calculus, held in Guangzhou, China on November 6–10, 2017. With roots in enumerative geometry and Hilbert's 15th problem, modern Schubert Calculus studies classical and quantum intersection rings on spaces with symmetries, such as flag manifolds. The presence of symmetries leads to particularly rich structures, and it connects Schubert Calculus to many branches of mathematics, including algebraic geometry, combinatorics, representation theory, and theoretical physics. For instance, the study of the quantum cohomology ring of a Grassmann manifold combines all these areas in an organic way. The book is useful for researchers and graduate students interested in Schubert Calculus, and more generally in the study of flag manifolds in relation to algebraic geometry, combinatorics, representation theory and mathematical physics.

Contributions to Automorphic Forms, Geometry, and Number Theory

Contributions to Automorphic Forms, Geometry, and Number Theory PDF Author: Haruzo Hida
Publisher: JHU Press
ISBN: 9780801878602
Category : Mathematics
Languages : en
Pages : 946

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Book Description
In Contributions to Automorphic Forms, Geometry, and Number Theory, Haruzo Hida, Dinakar Ramakrishnan, and Freydoon Shahidi bring together a distinguished group of experts to explore automorphic forms, principally via the associated L-functions, representation theory, and geometry. Because these themes are at the cutting edge of a central area of modern mathematics, and are related to the philosophical base of Wiles' proof of Fermat's last theorem, this book will be of interest to working mathematicians and students alike. Never previously published, the contributions to this volume expose the reader to a host of difficult and thought-provoking problems. Each of the extraordinary and noteworthy mathematicians in this volume makes a unique contribution to a field that is currently seeing explosive growth. New and powerful results are being proved, radically and continually changing the field's make up. Contributions to Automorphic Forms, Geometry, and Number Theory will likely lead to vital interaction among researchers and also help prepare students and other young mathematicians to enter this exciting area of pure mathematics. Contributors: Jeffrey Adams, Jeffrey D. Adler, James Arthur, Don Blasius, Siegfried Boecherer, Daniel Bump, William Casselmann, Laurent Clozel, James Cogdell, Laurence Corwin, Solomon Friedberg, Masaaki Furusawa, Benedict Gross, Thomas Hales, Joseph Harris, Michael Harris, Jeffrey Hoffstein, Hervé Jacquet, Dihua Jiang, Nicholas Katz, Henry Kim, Victor Kreiman, Stephen Kudla, Philip Kutzko, V. Lakshmibai, Robert Langlands, Erez Lapid, Ilya Piatetski-Shapiro, Dipendra Prasad, Stephen Rallis, Dinakar Ramakrishnan, Paul Sally, Freydoon Shahidi, Peter Sarnak, Rainer Schulze-Pillot, Joseph Shalika, David Soudry, Ramin Takloo-Bigash, Yuri Tschinkel, Emmanuel Ullmo, Marie-France Vignéras, Jean-Loup Waldspurger.

Algebra, Arithmetic, and Geometry

Algebra, Arithmetic, and Geometry PDF Author: Yuri Tschinkel
Publisher: Springer Science & Business Media
ISBN: 0817647473
Category : Mathematics
Languages : en
Pages : 700

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Book Description
EMAlgebra, Arithmetic, and Geometry: In Honor of Yu. I. ManinEM consists of invited expository and research articles on new developments arising from Manin’s outstanding contributions to mathematics.

Families of Automorphic Forms and the Trace Formula

Families of Automorphic Forms and the Trace Formula PDF Author: Werner Müller
Publisher: Springer
ISBN: 3319414240
Category : Mathematics
Languages : en
Pages : 581

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Book Description
Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.

Arbeitstagung Bonn, 1984

Arbeitstagung Bonn, 1984 PDF Author: Friedrich Hirzebruch
Publisher: Springer
ISBN:
Category : Electronic books
Languages : en
Pages : 514

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Zeta Functions in Algebra and Geometry

Zeta Functions in Algebra and Geometry PDF Author: Antonio Campillo
Publisher: American Mathematical Soc.
ISBN: 0821869000
Category : Mathematics
Languages : en
Pages : 362

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Book Description
Contains the proceedings of the Second International Workshop on Zeta Functions in Algebra and Geometry held May 3-7, 2010 at the Universitat de les Illes Balears, Palma de Mallorca, Spain. The conference focused on the following topics: arithmetic and geometric aspects of local, topological, and motivic zeta functions, Poincare series of valuations, zeta functions of groups, rings, and representations, prehomogeneous vector spaces and their zeta functions, and height zeta functions.

Eisenstein Series and Applications

Eisenstein Series and Applications PDF Author: Wee Teck Gan
Publisher: Springer Science & Business Media
ISBN: 0817646396
Category : Mathematics
Languages : en
Pages : 317

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Book Description
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.