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Next talk of the Seminar (11:00, Room 10.2.6)
10/04/2025: “Sharp extension
inequalities on finite fields”
Diogo Oliveira e Silva (Instituto Superior Técnico, Universidade de Lisboa)
Sharp restriction theory and the
finite field extension problem have both received much attention in the
last two decades, but so far they have not intersected. In this talk, we
discuss our first results on sharp restriction theory over finite fields.
Even though our methods for dealing with paraboloids and cones borrow some
inspiration from their euclidean counterparts, new phenomena arise which
are related to the underlying arithmetic and discrete structures.
This seminar is supported in part by FCT –
Portuguese Foundation for Science and Technology, under the FCT
Multi-Annual Financing Program, through the Center for Research and
Development in Mathematics and Applications (CIDMA) of Universidade de
Aveiro.
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