|Location:||MSRI: Simons Auditorium|
Note: This talk will have similar content, given in a broader Colloquium-style, as the talk that I will give in the Joint Seminar (HA and ANT) on Friday, March 10.
Abstract: Stein and Bourgain famously proved L^p bounds for the continuous spherical maximal function. Magyar-Stein-Wainger considered the natural discrete variant, but the l^p(Z^n) bounds are different for this operator. Motivated by questions related to distributions of prime points on surfaces, we consider a discrete spherical maximal function along the primes. How does it compare to the integer case, and what does it tell us? Come and find out. This is joint work with B. Cook, A. Kumchev, and K. Hughes.No Notes/Supplements Uploaded No Video Files Uploaded