Prehomogeneous vector spaces and Whittaker functions

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, September 30, 2014 - 12:30pm to Monday, September 29, 2014 - 8:00pm
Location: 
LOM 205
Speaker: 
Gautam Chinta
Speaker affiliation: 
CUNY
Event description: 

I will discuss some examples of coincidences between zeta functions of prehomogeneous vector spaces and Whittaker functions of Eisenstein series on metaplectic double covers of linear groups. I will also describe some applications to number theory and suggest prospects for further study. This is a joint work with T. Taniguchi (Kobe).