- Series
- Combinatorics Seminar
- Time
- Friday, January 22, 2021 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- https://bluejeans.com/751242993/PASSWORD (To receive the password, please email Lutz Warnke)
- Speaker
- Kevin Ford – The University of Illinois at Urbana-Champaign – https://faculty.math.illinois.edu/~ford/
- Organizer
- Lutz Warnke
Motivated by a new probabilistic interpretation of the Hardy-Littlewood k-tuples conjectures, we introduce a new probabilistic model of the primes and make a new conjecture about the largest gaps between the primes below x. Our bound depends on a property of the interval sieve which is not well understood. We also show that any sequence of integers which satisfies a sufficiently uniform version of the Hardy-Littlewood conjectures must have large gaps of a specific size. This work is joint with Bill Banks and Terry Tao.