Mathematics

Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms

Haruzo Hida, UCLA, will receive the 2019 Leroy P. Steele Prize for Seminal Contribution to Research for his highly original paper “Galois representations into GL2(Zp[[X]]) attached to ordinary cusp forms,” published in 1986 in Inventiones Mathematicae.

The Steele Prize for Seminal Contribution to Research is awarded for a paper, whether recent or not, that has proved to be of fundamental or lasting importance in its field, or a model of important research. The amount of this prize is $5,000.

Special Note: The Steele Prize for Seminal Contribution to Research is awarded according to the following six-year rotation of subject areas:

  1. Open
  2. Analysis/Probability
  3. Algebra/Number Theory
  4. Applied Mathematics
  5. Geometry/Topology
  6. Discrete Mathematics/Logic

Hida made the fundamental discovery that ordinary cusp forms occur in p-adic analytic families. Hida families are now ubiquitous in the arithmetic theory of automorphic forms, and his research has changed the way we view the subject.

https://link.springer.com/content/pdf/10.1007%2FBF01390329.pdf

Source: American Mathematical Society and Springer