Dense Clusters of Special Primes

Seminar: 
Algebra and Number Theory Seminar
Event time: 
Tuesday, September 2, 2014 - 12:30pm to Monday, September 1, 2014 - 8:00pm
Location: 
LOM 205
Speaker: 
Geoff Smith
Speaker affiliation: 
Yale University
Event description: 

Maynard recently used a refinement of the Selberg sieve to show that for any k there are infinitely many clusters of k primes contained in intervals of bounded size, generalizing and strengthening a celebrated result of Zhang. I will discuss his methods and explain how they can be applied to show the existence of dense clusters of primes within certain well-behaved sets of integers. This talk is based in part on work with Lynn Chua and Soohyun Park.