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Jonathan Hickman: High dimensional Kakeya maximal estimates via polynomial partitioning

Time: Wed 2019-03-20 13.15 - 14.15

Location: Room F11, KTH

Lecturer: Jonathan Hickman (St. Andrew)

Abstract: I will describe an approach to studying the Kakeya maximal function in high dimensions via the Guth--Katz polynomial partitioning method. The approach is rather flexible, provides a lot of interesting structural information and gives rise to some interesting algebraic/geometric problems.