Classical Kloosterman sums: Representation theory, magic squares, and Ramanujan multigraphs

02/15/2011 - 12:15pm
02/15/2011 - 1:10pm
Gizem Karaali (Pomona College)

We will start with the representation theory of a particular finite group, which yields Kloosterman sum identities, a concrete family of commuting hermitian matrices with a number of ''magical'' combinatorial properties and some related multigraphs which display Ramanujan-like behavior. Prior knowledge of the technical terms in the above sentence will not be required. This is joint work with Patrick S. Fleming and Stephan Ramon Garcia, and will mainly be an exposition of our recent paper with the same title (Journal of Number Theory 131 (2011), pp.661–680).

Millikan 208 (Pomona College)

Claremont Graduate University | Claremont McKenna | Harvey Mudd | Pitzer | Pomona | Scripps
Proudly Serving Math Community at the Claremont Colleges Since 2007
Copyright © 2018 Claremont Center for the Mathematical Sciences