Additive energy estimates and their application to extension problems for paraboloids in finite fields

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Additive energy estimates and their application to extension problems for paraboloids in finite fields

수리과학부 0 877
구분 작용소 세미나
일정 2017-11-29(수) 16:00~18:00
세미나실 129동 301호
강연자 고두원 (충북대학교)
담당교수 이훈희
기타
In this talk, we introduce the connection between additive energy estimates and the extension problem for paraboloids in the finite field setting. We improve additive energy estimates for subsets of paraboloids in even dimensional vector spaces over finite fields. As a consequence, up to endpoint, we obtain the optimal L^2 → L^r extension estimates for paraboloids in even dimensions d ≥ 6. This is a joint work with Alex Iosevich and Mark Lewko.

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