The theory of finite fields lies at the crossroads of algebra, combinatorics, and number theory. Finite fields play an important role in many application areas, such as coding theory and cryptography. The topics that will be covered in this workshop include the following: the structure of finite fields, matrices and linear operators over finite fields, polynomials over finite fields, sequences over finite fields, exponential sums over finite fields, and equations and varieties over finite fields. This workshop is intended for graduate students with a potential interest in finite fields and their applications.
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