Events at The University of Manchester
  • University home
  • Events
  • Home
  • Exhibitions
  • Conferences
  • Lectures and seminars
  • Performances
  • Events for prospective students
  • Sustainability events
  • Family events
  • All Events

Manchester Number Theory Seminar - Diana Mocanu

Dates:7 November 2023
Times:15:00 - 16:00
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Current University students
See travel and contact information
Add to your calendar

More information

  • Department of Mathematics

Other events

  • In category "Seminar"
  • In group "(Maths) Number theory "
  • In group "(Maths) Maths seminar series"
  • By Department of Mathematics

Speaker: Diana Mocanu (Warwick)

Title: The modular approach for solving x^r+y^r=z^p

Abstract: Since Wiles’ famous proof of Fermat’s Last Theorem, number theorists extensively studied Diophantine equations using the modular approach. I will describe a variation of this method using (partial results about) modularity of elliptic curves over totally real fields, image of inertia comparison, and the study of certain S-unit equations. Then, we will see how to attack the equation x^r + y^r = z^p (fixed r, varying p) using the above method. If time permits, I will present a first step towards a generalized version of the modular approach, which uses higher dimensional analogues of Frey elliptic curves in order to find solutions to the same equation.

Room: Frank Adams 1

Travel and Contact Information

Find event

Frank Adams 1
Alan Turing Building
Manchester

Contact event

Martin Orr

martin.orr@manchester.ac.uk

Contact us

  • +44 (0) 161 306 6000

Find us

The University of Manchester
Oxford Rd
Manchester
M13 9PL
UK

Connect with the University

  • Facebook page for The University of Manchester
  • X (formerly Twitter) page for The University of Manchester
  • YouTube page for The University of Manchester
  • Instagram page for The University of Manchester
  • TikTok page for The University of Manchester
  • LinkedIn page for The University of Manchester

  • Privacy /
  • Copyright notice /
  • Accessibility /
  • Freedom of information /
  • Charitable status /
  • Royal Charter Number: RC000797
  • Close menu
  • Home
    • Featured events
    • Today's events
    • The Whitworth events
    • Manchester Museum events
    • Jodrell Bank Discovery Centre events
    • Martin Harris Centre events
    • The John Rylands Library events
    • Exhibitions
    • Conferences
    • Lectures and seminars
    • Performances
    • Events for prospective students
    • Sustainability events
    • Family events
    • All events