Author: Hendrik Kasten
Publisher:
ISBN:
Category :
Languages : en
Pages : 68
Book Description
On Critical Values of Rankin-Selberg Convolutions
Author: Hendrik Kasten
Publisher:
ISBN:
Category :
Languages : en
Pages : 68
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 68
Book Description
Eisenstein Cohomology for GLN and the Special Values of Rankin–Selberg L-Functions
Author: Günter Harder
Publisher: Princeton University Press
ISBN: 069119789X
Category : Mathematics
Languages : en
Pages : 234
Book Description
Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.
Publisher: Princeton University Press
ISBN: 069119789X
Category : Mathematics
Languages : en
Pages : 234
Book Description
Introduction -- The cohomology of GLn -- Analytic tools -- Boundary cohomology -- The strongly inner spectrum and applications -- Eisenstein cohomology -- L-functions -- Harish-Chandra modules over Z / by Günter Harder -- Archimedean intertwining operator / by Uwe Weselmann.
On Central Critical Values of the Degree Four $L$-functions for $\mathrm {GSp}(4)$: The Fundamental Lemma
Author: Masaaki Furusawa
Publisher: American Mathematical Soc.
ISBN: 0821833286
Category : Mathematics
Languages : en
Pages : 158
Book Description
Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
Publisher: American Mathematical Soc.
ISBN: 0821833286
Category : Mathematics
Languages : en
Pages : 158
Book Description
Proves two equalities of local Kloosterman integrals on $\mathrm{GSp}\left(4\right)$, the group of $4$ by $4$ symplectic similitude matrices. This book conjectures that both of Jacquet's relative trace formulas for the central critical values of the $L$-functions for $\mathrm{g1}\left(2\right)$ in [{J1}] and [{J2}].
Rankin-Selberg Convolutions for SO2l+1 X GLn
Author: David Soudry
Publisher:
ISBN: 9781470400774
Category : Convolutions
Languages : en
Pages : 113
Book Description
Publisher:
ISBN: 9781470400774
Category : Convolutions
Languages : en
Pages : 113
Book Description
Archimedean Zeta Integrals for $GL(3)times GL(2)$
Author: Miki Hirano
Publisher: American Mathematical Society
ISBN: 1470452774
Category : Mathematics
Languages : en
Pages : 136
Book Description
View the abstract.
Publisher: American Mathematical Society
ISBN: 1470452774
Category : Mathematics
Languages : en
Pages : 136
Book Description
View the abstract.
Cohomology of Arithmetic Groups
Author: James W. Cogdell
Publisher: Springer
ISBN: 3319955497
Category : Mathematics
Languages : en
Pages : 304
Book Description
This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical experts to offer an overview of the current state of research in these and related areas. The result is this book, with contributions ranging from topology to arithmetic. It probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie.
Publisher: Springer
ISBN: 3319955497
Category : Mathematics
Languages : en
Pages : 304
Book Description
This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical experts to offer an overview of the current state of research in these and related areas. The result is this book, with contributions ranging from topology to arithmetic. It probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie.
P-adic Aspects Of Modular Forms
Author: Baskar Balasubramanyam
Publisher: World Scientific
ISBN: 9814719242
Category : Mathematics
Languages : en
Pages : 342
Book Description
The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).
Publisher: World Scientific
ISBN: 9814719242
Category : Mathematics
Languages : en
Pages : 342
Book Description
The aim of this book is to give a systematic exposition of results in some important cases where p-adic families and p-adic L-functions are studied. We first look at p-adic families in the following cases: general linear groups, symplectic groups and definite unitary groups. We also look at applications of this theory to modularity lifting problems. We finally consider p-adic L-functions for GL(2), the p-adic adjoint L-functions and some cases of higher GL(n).
Rankin-Selberg Convolutions for SO2l+1 X GLn
Author: David Soudry
Publisher: American Mathematical Soc.
ISBN: 9780821862230
Category : Mathematics
Languages : en
Pages : 116
Book Description
This book presents two new ideas: the justification of formal manipulations in the proof of multiplicativity of the gamma factor, through a uniqueness principle, and the use of a key identity in this proof to reduce the unramified computation in the case l
Publisher: American Mathematical Soc.
ISBN: 9780821862230
Category : Mathematics
Languages : en
Pages : 116
Book Description
This book presents two new ideas: the justification of formal manipulations in the proof of multiplicativity of the gamma factor, through a uniqueness principle, and the use of a key identity in this proof to reduce the unramified computation in the case l
Motives
Author:
Publisher: American Mathematical Soc.
ISBN: 0821827987
Category : Mathematics
Languages : en
Pages : 694
Book Description
'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.
Publisher: American Mathematical Soc.
ISBN: 0821827987
Category : Mathematics
Languages : en
Pages : 694
Book Description
'Motives' were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, and to play the role of the missing rational cohomology. This work contains the texts of the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991.
Automorphic Forms Beyond $mathrm {GL}_2$
Author: Ellen Elizabeth Eischen
Publisher: American Mathematical Society
ISBN: 1470474921
Category : Mathematics
Languages : en
Pages : 199
Book Description
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.
Publisher: American Mathematical Society
ISBN: 1470474921
Category : Mathematics
Languages : en
Pages : 199
Book Description
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.