The Casselman-Shalika Formula for GL_2

Emily Tibor
Monday, November 18, 2019 - 3:35pm to 4:35pm
Vincent Hall 1

This talk will focus on the Casselman-Shalika formula for GL_2 over a non-Archimedean local field, which is an explicit formula for the values of the spherical Whittaker function. A good amount of time will be dedicated to explaining the necessary background including Whittaker models and spherical vectors, which come together to form the spherical Whittaker function. We will then be ready to discuss the formula, Casselman's method of calculating it, and its significance.