This award is to support an international conference on several topics of active current interest in noncommutative algebra, with broad connections to analysis, combinatorics, geometry, mathematical physics, and topology. The focus of the conference is recent exciting developments and emerging future directions, particularly in such areas as representations of algebras, noncommutative algebraic geometry, homological and categorical techniques for Hopf algebras, and von Neumann regular algebras. One purpose of the conference is to generate new research in noncommutative algebra and related areas.

The conference will bring together a large number of participants, including the leading experts from different specialties within noncommutative algebra, encouraging interactions between participants from a broad range of perspectives and approaches. The organizers intend for this conference to create opportunities for graduate students and postdoctoral fellows, young researchers, and mathematicians from underrepresented groups to communicate and receive feedback on their ideas. This conference will emphasize new ideas and new developments and help to identify new directions in noncommutative algebra.

Project Report

This award was in support of a major international conference: New Trends in Noncommutative Algebra, held August 9 - 14, 2010, at the University of Washington, Seattle. The conference was focused on exciting new developments and emerging future directions in noncommutative algebra -- with connections to mathematical physics, combinatorics, geometry, and number theory. The conference brought together a broad collection of leading experts representing several distinct points of view; in particular, the conference brought together researchers working on both noetherian algebras (i.e., algebraic systems with certain finiteness condiditions) and non-noetherian algebras. The specific topics covered in the conference included representations of algebras, noncommutative algebraic geometry, homological and categorical techniques for Hopf algebras, quantum algebras, deformation quantization, Calabi-Yau algebras, Poisson algebras, growth of algebras, group algebras, noncommutative Iwasawa algebras, and von Neumann regular algebras. There were 27 talks and a poster session. Participants included over 100 mathematicians from Eruope, North America, and Asia. A volume of proceedings from the conference has appeared: P. Ara, K. A. Brown, T. H. Lenagan, E. S. Letzter, J. T. Stafford, J. J. Zhang, editors; New Trends in Noncommutative Algebra: A conference in Honor of Ken Goodearl's 65th Birthday, August 9-14, 2010, University of Washington, Seattle, WA; Contemporary Mathematics, vol. 562, American Mathematical Society, 2011.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
0950506
Program Officer
Tara Smith
Project Start
Project End
Budget Start
2010-01-15
Budget End
2011-12-31
Support Year
Fiscal Year
2009
Total Cost
$35,000
Indirect Cost
Name
University of Washington
Department
Type
DUNS #
City
Seattle
State
WA
Country
United States
Zip Code
98195