### Square function estimates for planar curves over local fields

Heilbronn Number Theory Seminar

11th May 2022, 4:00 pm – 5:00 pm

Fry Building, Room 2.04

I will talk about recent work with Kirsti Biggs and Julia Brandes on square functions for planar curves over local fields. I will start the talk by describing what square functions are and by motivating their study in number theory and analysis. From there, I will state our main result, indicate some of the difficulties compared to previous works, and finally prove it using some fun, yet simple, blend of analysis and algebraic geometry.

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