Representation theory and noncommutative geometry

An online research community sponsored by the


American Institute of Mathematics, San Jose, California

organized by

Pierre Clare, Nigel Higson, and Birgit Speh

This research community, sponsored by AIM and the NSF, brings together researchers to develop connections between representation theory, operator algebras and noncommutative geometry. Representation theory and operator algebra theory shared common origins in harmonic analysis and quantum theory, although early on the two fields began to move in separate directions. But new territories that have recently been explored in representation theory, especially non-Riemannian symmetric spaces and spherical varieties, and new tools that have been developed in operator algebras, especially those involving K-theory and the other methods of noncommutative geometry, make the present an opportune time to explore links between the two fields.

Exchanges and collaboration are promoted through:

  • Language schools (introductory lecture series) to acquaint participants from each field with the fundamental ideas and methods from the other.
  • Focused workshops on topics of current interest, with an emphasis on new methods and open problems.

Interested researchers, including graduate students and post-docs, are encouraged to contact the organizers at . We especially encourage women, underrepresented minorities, and researchers from primarily undergraduate institutions to get in touch.

For more information, email