中央研究院 資訊科學研究所

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學術演講

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On Multivariate Polynomial Factorization

  • 講者周紀寧 先生 (Computer Science, Harvard University)
    邀請人:鐘楷閔
  • 時間2019-05-28 (Tue.) 10:00 ~ 12:00
  • 地點資訊所新館106演講廳
摘要

Multivariate polynomial factorization is one of the fundamental questions in algebraic complexity. Given a multivariate polynomial f in the form of a succinct representation (e.g., arithmetic circuit), the task is finding a succinct representation for its factors. In addition to being a natural question, polynomial factorization has many applications such as hardness versus randomness and decoding Reed-Solomon codes.

This talk aims to give a broad overview on the multivariate polynomial factorization with a focus on some recent advances and open problems. If time allows, I will also mention the interplay between polynomial factorization and other areas of theoretical computer science. For the audience, no background is required except the definition of polynomia