# Groups, Rings and Group Rings

## Details

The theory of Group Rings has important connections to other fundamental areas, such as Number Theory, Topology, K-Theory, Representation Theory, Homological Algebra and of course to finite and infinite Group Theory and Ring Theory. Applications outside mathematics occur in Mathematical Physics (Crystallography) and within the last years also in Coding Theory. In particular, the interplay between group theorists and ring theorists has increased the research activity and produced a richer and more complete understanding of several problems under investigation.

The conference will be a meeting ground for the international experts (from different continents) to overview all the many recent results and to discuss the trends and the developments for the coming years. Many talks will be of in- terest to graduate students. Applications in other areas (possibly outside of Mathematics) will be discussed as well. A guideline for the further development of the theory should result.

The main highlights of the conference will be:

-The arithmetic of integral group rings, in particular the multiplicative structure and the group of units

-Polynomial growth and identities

-Orders and semigroup rings

-Lie structure

-Applications to Coding Theory

## Additional Information

This workshop is a part of the Celebration of a Century of Mathematics and Statistics in Alberta. For further information about this event, please visit the official webpage at

http://www.math.ualberta.ca/~grgr/

Help PIMS improve its operations and plan for future events: please fill out our (quick!) online survey. Thanks!

Eli Aljadeff, Technion Israel Institute of Technology, ISRAEL

Yuri Bahturin, Memorial University of Newfoundland, CANADA)

Jason Bell, Simon Fraser University, CANADA

Frauke Bleher, University of Iowa, USA

Robert Boltje, University of California, Santa Cruz USA

Angel del Rio, University of Murcia, SPAIN

Antonio Giambruno, Universita' di Palermo, ITALY

Jairo Z. Goncalves, University of Sao Paulo, USP BRAZIL

Ted Hurley, National University of Ireland, Galway IRELAND

Gabriele Nebe, RWTH Aachen, GERMANY

Jan Okninski, University of Warsaw, POLAND

Donald Passman, University of Wisconsin, Madison USA

Cesar Polcino Milies, University of Sao Paulo USP, BRAZIL

Jurgen Ritter, University of Augsburg, GERMANY

Mazi Shirvani, University of Alberta, CANADA

Benjamin Steinberg, Carleton University, CANADA

Alfred Weiss, University of Alberta, CANADA

**Scientific, Conference**

**July 11â€“15, 2011**

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