## Character sum estimates for Bohr sets

#### Brandon HansonUniversity of TorontoMathematics

A Bohr subset of an additive abelian group can be viewed as an approximate kernel of a family of characters on that group. In a finite field, there are two group structures involved - additive and multiplicative. I will speak on obtaining non-trivial estimates for a multiplicative character over an additive Bohr set. This tells us that a one cannot hope to control additive characters and multiplicative characters at the same time.

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