The MRI Book Series is edited by Gregory R. Baker, Walter D. Neumann and Karl Rubin. All volumes are available as an eBook, print, and eBook/Print from De Gruyter. This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathematical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

## Volume 11: Automorphic Representations, L-Functions and Applications: Progress and Prospects

Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, The Ohio State University, March 27-30, 2003.

Editors: Cogdell, James W. / Jiang, Dihua / Kudla, Stephen S. / Soudry, David / Stanton, Robert J.

430 pages, published June 2005, Reprinted 2011

ISBN: 978-3-11-089270-3

The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including:

- Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis)
- the relative trace formula (Jacquet, Mao–Rallis)
- automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry)
- representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi)
- p-adic methods (Harris–Li–Skinner, Vigneras), and
- arithmetic applications (Chinta–Friedberg–Hoffstein).

The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics.

## Volume 10: Codes and Designs

Proceedings of a conference honoring Professor Dijen K. Ray-Chaudhuri on the occasion of his 65th birthday. The Ohio State University May 18-21, 2000

Editors Arasu, K. T. / Seress, Akos

322 pages, published August 2008, reprinted 2012

ISBN: 978-3-11-019811-9

Following an initiative of the late Hans Zassenhaus in 1965, the Departments of Mathematics at The Ohio State University and Denison University organize conferences in combinatorics, group theory, and ring theory. Between May 18-21, 2000, the 25th conference of this series was held. Usually, there are twenty to thirty invited 20-minute talks in each of the three main areas. However, at the 2000 meeting, the combinatorics part of the conference was extended, to honor the 65th birthday of Professor Dijen Ray-Chaudhuri. This volulme is the proceedings of this extension. Most of the papers are in coding theory and design theory, reflecting the major interest of Professor Ray-Chaudhuri, but there are articles on association schemes, algebraic graph theory, combinatorial geometry, and network flows as well. There are four surveys and seventeen research articles, and all of these went through a thorough refereeing process.

## Volume 9: Complex Analysis and Geometry

Proceedings of a Conference at The Ohio State University, June 3-6, 1999

Editor: McNeal, Jeffery D.

191 pages, published 2001

ISBN: 978-3-11-086781-7

This volume is the proceedings of a conference held at Ohio State University in May of 1999. Over sixty mathematicians from around the world participated in this conference and principal lectures were given by some of the most distinguished experts in the field. The proceedings volume contains fully refereed research articles from some of the principal speakers, including: Salah Baouendi (UCSD), David Barrett (Univ. Michigan), Bo Berndtsson (Goteborg), David Catlin (Purdue Univ.), Micheal Christ (Berkeley), John D'Angelo (Univ. Illinois), Xiaojun Huang (Rutgers), J. J. Kohn (Princeton), Y.-T. Siu (Harvard), and Emil Straube (Texas A & M).

## Volume 8: Groups and Computation III

Proceedings of the International Conference at The Ohio State University, June 15-19, 1999

Editors: Kantor, William M. / Seress, Akos

368 pages, published 2001

ISBN: 978-3-11-087274-3

This volume contains contributions by the participants of the conference *"Groups and Computation"*, which took place at The Ohio State University in Columbus, Ohio, in June 1999. This conference was the successor of two workshops on *"Groups and Computation*" held at DIMACS in 1991 and 1995. There are papers on permutation group algorithms, finitely presented groups, polycyclic groups, and parallel computation, providing a representative sample of the breadth of Computational Group Theory. On the other hand, more than one third of the papers deal with computations in matrix groups, giving an in-depth treatment of the currently most active area of the field. The points of view of the papers range from explicit computations to group-theoretic algorithms to group-theoretic theorems needed for algorithm development.

## Volume 7: The Monster and Lie Algebras

Proceedings of a Special Research Quarter at the Ohio State University, May 1996

Editors: Ferrar, Joseph / Harada, Koichiro

252 pages, published June 1996, reprinted 2011

ISBN: 978-3-11-080189-7

Three years after the first, the second Columbus Monster conference was held in May 1996. The focus of this conference was groups, Lie algebras and the Monster, and considerable emphasis was placed on presenting the various aspects of group theory and Lie algebra theory in a modern perspective. The Monster served nobly as a central theme with deep roots in both Lie algebra and group theory. The papers in this volume represent only a portion of the material presented at the conference by they give a fascinating picture, in both expository presentations and state-of-the-art research reports, of the breadth and vitality of current activity in these areas and of the extraordinary interconnections that have repeatedly surfaced in their study.

## Volume 6: Representation Theory of Finite Groups

Proceedings of a Special Research Quarter at the Ohio State University, Spring 1995

Editor: Solomon, Ronald

151 pages published 1997, Reprinted 2012

ISBN: 978-3-11-080629-8

This year, 1997, represents the centenary of fundamental papers by three mathematicians - Theofor Molien, Georg Frobenius and WIlliam Burnside - each developing many of the foundational results of the theory of complex representations of finite groups. If is fitting than that we now publish this set of papers which gives some measure of the distance this theory has advanced in its first century and some clues as to the roads it will follow in its second century.

## Volume 5: Convergence in Ergodic Theory and Probability

Convergence in Ergodic Theory and Probability

Editors: Bergelson, Vitaly / March, Peter / Rosenblatt, Joseph

445 pages, published 1996; reprinted 2011

ISBN: 978-3-11-088938-3

## Volume 4: Groups, Difference Sets, and the Monster

Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993

Editors: Arasu, K.T. / Dillon, J.F. / Harada, K. / Sehgal, S. / Solomon, R.

461 pages, 19 figures, 10 tables, published 1996, reprinted 2011

ISBN: 978-3-11-089310-6

The moonshine has not yet turned into the sunshine, far from it actually. Our progress, however, is slow and steady. The year 1993, when this conference was held, is the 20th year since the Monster first appeared in the world. The Monster is now an adult at least physically if not mentally.

## Volume 3: Geometric Group Theory

Proceedings of a Special Research Quarter at The Ohio State University, Spring 1992

Editors: Charney, Ruth / Davis, Michael / Shapiro, Michael

186 pages, 34 figures, published 1995, reprinted 2011

ISBN: 978-3-11-081082-0

This volume consists of contributions from participants of the Special Quarter. The program for the quarter included fifteen visitors for periods of one to seven weeks, and cuminated with a four-day conference attended by about sixty participants. THe field of geometric group theory has seen an explosion of new ideas and new faces over the past decade. An effort was made to include a large number of graduate students and recent PhD's in the Special Quarter and their enthusiastic participation was particularly gratifying.

## Vol. 2: The Arithmetic of Function Fields

Proceedings of the Workshop at The Ohio State University, June 17 - 26, 1991

Editors: Goss, David / Hayes, David R. / Rosen, Michael

482 pages, published 1992, reprinted 2011

ISBN: 978-3-11-088615-3

A primary topic of the workshop was the arithmetic of Drinfeld modules which is still a new area of research. As such, many of the contributions are of an expository nature and serve as an introduction to non-experts. Therefore, this volume will be useful to researchers in the area - both new and old - and to those who are simply curious! Indeed, the last article in the volume is a "dictionary" to help the reader understand the remarkable similarities between Drinfeld modules and classical objects such as elliptic curves.

## Volume 1: Topology '90

Proceedings of the Research Semester in Low Dimensional Topology at The Ohio State University

Editors: Apanasov, Boris N. / Neumann, Walter D. / Reid, Alan W. / Siebenmann, Laurent

457 pages, published 1992, reprinted 2011

ISBN: 978-3-11-085772-6

The main topics of the Research Semester included: the geometry and topology of 3-manifolds, with particular emphasis on hyperbolic 3-manifolds and their interactions with number theory; the "new" invariants of 3-manifolds related to quantum field theory; plane algebraic curves.