• Speaker: Dr Matthew Skerritt, School of Science, STEM College, RMIT University
  • Title: Computation of Integer and Algebraic Integer Relations
  • Location: Room SR118, SR Building (and online via Zoom) (Callaghan Campus) The University of Newcastle
  • Time and Date: 4:00 pm, Thu, 3rd Jun 2021
  • Join via Zoom, or join us in person (max room capacity is 9 people).

    3:30pm for pre-talk drinks + snacks, and 4pm for the talk

  • Abstract:

    I will first introduce the idea of integer relations and discuss practical concerns for their computation by numeric techniques (i.e., using floating point arithmetic). To this end I will discuss the PSLQ and LLL algorithms (and will mention, in passing, some others). I will then extend the idea of integer relations into the relations consisting of algebraic integers. I will discuss, in particular, the case of algebraic integers from quadratic extension fields. As with the first part of the talk, I will discuss practical concerns for calculation by numeric techniques of these quadratic integer relations.

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