BIMSA > Research seminar in Discrete Mathematics Additive bases: change of domain
Additive bases: change of domain
Organizer
Benjamin Sudakov
Speaker
Boris Bukh
Time
Tuesday, March 11, 2025 5:05 PM - 6:15 PM
Venue
Online
Online
Zoom 787 662 9899 (BIMSA)
Abstract
Let A be a set of numbers. What is the most efficient way to cover A by a sumset? For the same set A, the answer will depend on the meaning of the word `number'. In this talk, we discuss how much can the answer change as we go from rational numbers to integers and finally to natural numbers.
Joint work with Peter van Hintum and Peter Keevash.
Speaker Intro
Boris proved his first breakthrough result at the age of eleven --- the sum of reciprocals of prime numbers converges! Elated by this success, he vigorously pursued his studies despite various setbacks that included loss of homeland, loss of weight, and the disproof of his first breakthrough by Euler in 1737. He now works mostly in extremal combinatorics, a subject that Euler avoided.