Hand to hand combat with thousand-digit integrals

Host Institution:

University of Newcastle

Title of Seminar:

Hand to hand combat with thousand-digit integrals

Speaker's Name:

David Bailey (Lawrence Berkeley National Laboratory, USA)

Time and Date:

Monday 3 September, 3.00pm (EST)

Seminar Abstract:

A frequent theme of 21st century experimental math is the computer discovery of identities, typically done by means of computing some mathematical entity (a sum, limit, integral, etc) to very high numeric precision, then using the PSLQ algorithm to identify the entity in terms of well known constants. Perhaps the most successful application of this methodology has been to identify integrals arising in mathematical physics. This talk will present numerous examples of this type, including integrals from quantum field theory, Ising theory, random walks, 3D lattice problems, and even mouse brains. In some cases, it is necessary to compute these integrals to 3000-digit precision, and developing techniques to do such computations is a daunting technical challenge.

Seminar Convenor:

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How to participate in this seminar

  1. Book your University's Access Grid Room, or a university or APAC etc. Access Grid Room that you are able to use, and
  2. Send an email to the seminar convenor to advise that you will be attending the seminar.