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Advances in the Theory of Automorphic Forms and Their $L$-functions
This volume contains the proceedings of the workshop on “Advances in the Theory of Automorphic Forms and Their L-functions” held in honor of James Cogdell's 60th birthday, held from October 16–25, 2013, at the Erwin Schrödinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of p-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, L-functions for classical groups, special values of L-functions, Howe duality, subconvexity for L-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on L-functions, nodal sets and geometry.
On Certain $L$-Functions
Illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their $L$-functions, and both local and global theory are addressed. Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of $p$-adic groups, Plancherel formula and its consequences, and the Gross-Prasad conjecture.
John Brown and Elizabeth McCrary, and the First Three Generations of Their Descendants, 2nd Edition
John Brown and Elizabeth McCrary grew up in Laurens County, South Carolina. They married in 1807, then moved to Indiana. They later returned to the South, and settled in Lawrence County, Alabama. After Elizabeth's death, John Brown (who was an uncle of General Ambrose Burnside) moved to Warren County, Illinois, where he remarried, and spent the rest of his life. John and Elizabeth's descendants included doctors and lawyers, farmers and ranchers, soldiers, bankers, scientists, and engineers. Many bore other surnames-among them Dobbins, Cogdell, Wilson, Dandridge, Otwell, Davidson, and Glenn. They were a varied and mobile family, whose lives were intertwined with many major events of American history-the Gold Rush, the Civil War, the westward movement of the American population, and the nation's transformation from an agrarian and rural to a more industrialized and urban society. This book makes use of a variety of sources, including previously unpublished correspondence, to tell their story.
Cars & Parts
None
Automorphic Forms and Representations
This book takes advanced graduate students from the foundations to topics on the research frontier.
A Walk Around Nutrition Factors Project No. 1
a poetry collection that represents factors mattering to one's physical and mental health. this is a non-profit project, featuring work by Thursday poets rally talents and thoughts.
Love In Creativity Project #1
The collection of poetry, humor, and stories on family, friends, poets or writers who blog and support short story slams, plus the most influential world leaders or figures and their legacy....each story is written in 55 words...enjoy!
The Antique Automobile
Includes a tenth anniversary issue, dated Nov. 1945.
Transfer of Siegel Cusp Forms of Degree 2
Let be the automorphic representation of generated by a full level cuspidal Siegel eigenform that is not a Saito-Kurokawa lift, and be an arbitrary cuspidal, automorphic representation of . Using Furusawa's integral representation for combined with a pullback formula involving the unitary group , the authors prove that the -functions are "nice". The converse theorem of Cogdell and Piatetski-Shapiro then implies that such representations have a functorial lifting to a cuspidal representation of . Combined with the exterior-square lifting of Kim, this also leads to a functorial lifting of to a cuspidal representation of . As an application, the authors obtain analytic properties of various -functions related to full level Siegel cusp forms. They also obtain special value results for and
Automorphic Forms and Applications
The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and gr...
