Professor Dietmar Bisch, chair of the mathematics department at Vanderbilt University, has kindly written the following piece about the newly formed “Center for Noncommutative Geometry and Operator Algebras (NCGOA)” and its activities for the NCG blog.
FIFTH ANNUAL SPRING INSTITUTE ON NONCOMMUTATIVE GEOMETRY AND OPERATOR ALGEBRAS, Vanderbilt University, May 7 to May 16, 2007
The Fifth Annual Spring Institute on NCG & OA will begin this coming Monday, May 7, at Vanderbilt. The topic of this year’s meeting is index theory, Hopf cyclic cohomology and NCG. We expect about 100 participants from all over the world, including more than 60 students and postdocs. The following mini-courses will be featured at the meeting:
Alain Connes: Noncommutative geometry and motives
Nigel Higson, John Roe: Dirac operators and the Baum-Connes conjecture
Christian Kassel: An introduction to quantum groups
Atabey Kaygun, Masoud Khalkhali: From cyclic cohomology to Hopf cyclic cohomology
Giovanni Landi, Andrzej Sitarz: An Introduction to equivariant spectral triples
Ryszard Nest, Boris Tsygan: Algebraic index theorem
Michael Puschnigg: Cyclic cohomology and the Chern-Connes character
Moreover, there will be several research talks related to the topics of the spring institute. For more information, please consult the conference website.
Funding for the yearly NCGOA spring institute is provided by NSF and the College of Arts & Science at Vanderbilt University. The annual spring institute on NCGOA is organized every year by the Center for Noncommutative Geometry and Operator Algebras (NCGOA) at Vanderbilt under the direction of Alain Connes.
The Center consists of more than 20 graduate students, postdocs and senior mathematicians. The senior mathematicians in the area of NCG & OA atVanderbilt are Dietmar Bisch, Alain Connes, Bruce Hughes, Gennadi Kasparov, Jesse Peterson, Daoxing Xia, Guoliang Yu and Dechao Zheng.
Researchers affiliated with the Center cover a broad spectrum of scientific interests including K-theory of operator algebras, index theory, coarse geometry, von Neumann algebras, the theory of subfactors, operator theory, controlled topology, stratified spaces and quantum information theory. We are heavily involved in the training of students and postdocs and our work in this area is currently supported by an NSF Research Training Group grant.
Besides the annual spring institute, the Center’s activities include organization of seminars, lecture series and (small) workshops, and we are involved in running the annual East Coast Operator Algebras Symposium. Information about the previous NCGOA spring institutes is available on the web. The links are listed below. Each site contains links to lecture notes, articles or slides of talks which were sent to us by the speakers.
The Clay Mathematics Institute international conference and spring school on NONCOMMUTATIVE GEOMETRY AND APPLICATIONS in conjunction with the 18th Annual Shanks Lecture (aka the FIRST ANNUAL SPRING INSTITUTE on NCGOA), May 2 to Tuesday, May 13, 2003