# Council for African American Researchers in the Mathematical Sciences: Volume V

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*Alfred G. Noël; Donald R. King; Gaston M. N’Guérékata; Edray H. Goins*

This volume contains articles based on talks presented at the Thirteenth
Conference of African American Researchers in the Mathematical Sciences
(CAARMS), held at Northeastern University and the University of
Massachusetts, Boston on June 19–22, 2007. The representation theory of
Lie groups and its applications were a major focus of the talks. An
overview is included of the recent achievements of the Atlas of Lie Groups
Project and the work that remains to be done by the Atlas Project to fully
understand the unitary representations of reductive groups. Other articles
highlight the significance of scientific computing in Lie Theory and
applications of the representation theory of Lie groups to the physics of
black holes. This volume contains two research papers not related to Lie
Theory: one on the geometry of coisotropic submanifolds of Poisson
manifolds and one on recent results on the structure of the set of
ultrafilters on the collection of finite subsets of an infinite set. It
concludes with a survey of CAARMS12 participants.

For volumes based on previous CAARMS proceedings, see:

African Americans in Mathematics (volume 34 in the AMS series,
DIMACS), African Americans in Mathematics: Volume II (volume 252 in
the AMS series Contemporary Mathematics), African Americans in the
Mathematical Sciences: Volume III (volume 275 in the Contemporary
Mathematics series) and Volume IV (volume 284 in the Contemporary
Mathematics series).

#### Readership

Graduate students and research mathematicians interested in representations of Lie groups and related topics.

# Table of Contents

## Council for African American Researchers in the Mathematical Sciences: Volume V

- Contents vii8 free
- Preface ix10 free
- The Omega-Regular Unitary Dual of the Metaplectic Group of Rank 2 112 free
- A Resolvent Trace Formula for the BTZ Black Hole with Conical Singularity 4960
- On the Geometry of Coisotropic Submanifolds of Poisson Manifolds 6374
- Remarks on Ultrafilters on the Collection of Finite Subsets of an Infinite Set 7384
- The Atlas of Lie Groups and Representations: Scope and Successes 8596
- Maximal Tori of Reductive Centralizers of Nilpotents in Exceptional Complex Symmetric Spaces: A Computational Approach 103114
- A Survey of CAARMS12 Participants 141152