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

Logic seminar: Abhiram Natarajan

Dates:6 November 2024
Times:15:15 - 16:30
What is it:Seminar
Organiser:Department of Mathematics
Who is it for:University staff, External researchers, Adults, Alumni, 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) Maths seminar series"
  • In group "(Maths) Logic"
  • By Department of Mathematics

Title: Polynomial and Pfaffian Partitioning of Semi-Pfaffian Sets with Applications

Abstract: The polynomial partitioning theorem of Guth and Katz, in addition to helping nearly resolve Erdos' distinct distances problem, has resulted in a wide swath of improvements not just in incidence geometry, but in areas such as harmonic analysis as well. The polynomial partitioning theorem only applies to a finite set of semi-algebraic sets, and thus is not applicable when the sets involved are more general than semi-algebraic sets. Incidence geometry questions, where the involved sets are sets definable in arbitrary o-minimal structures, has not progressed as much as the case where the sets involved are semi-algebraic, and one reason for this is the absence of a polynomial partitioning theorem that works in the definable setting.

We generalize the polynomial partitioning theorem of Guth and Katz to a finite set of semi-Pfaffian sets. Additionally, we also obtain a partitioning theorem for semi-Pfaffian sets where instead of using a polynomial to partition the space, we are able to partition the space using a Pfaffian set instead. The latter method has an important advantage.

Finally, we are able to derive at least one immediate application of our new theorem.

Joint work with Martin Lotz and Nicolai Vorobjov.

Travel and Contact Information

Find event

Frank Adams 1
Alan Turing Building
Manchester

 

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