Nested Efficient Congruencing and (non) translation-dilation invariance.
Presenter
May 5, 2017
Keywords:
- efficient congruencing method
- translation dilation invariance
- Vinogradov's mean value theorem
- decoupling results
- Vinogradov system of equations
MSC:
- 11L15
- 11L07
- 11P05
- 11P55
- 11N99
Abstract
We discuss the nested refinement of the efficient congruencing method, which incorporates an idea from the l^2-decoupling work of Bourgain, Demeter and Guth. There are consequences for (non) translation-dilation invariant systems