Structural sum-product problems
Prof. Oliver Roche-Newton武漢大學數學系 下午 2:30–4:00 Tòa nhà Hồng Kinh 107 室A common variation of the sum-product problem is the question of determining whether certain sets defined by a combination of additive and multiplicative operations are guaranteed to be large. Recent years have seen progress in this area, with a number of essentially optimal results being established. A natural follow-up problem concerns the structural question of when these lower bounds can be attained. This talk will give an introduction to problems of this type, discussing some of the many open problems in the area and giving some details of the few results that are known.