AGR: La Trobe Mathematics & Statistics seminar series

Name:AGR: La Trobe Mathematics & Statistics seminar series
Calendar:1-day meetings & lectures
When:Fri, November 9, 2018, 2:00 pm - 3:30 pm
Description:

La Trobe logo

Geometry of Points and Lines in the Plane: Combinatorial and Algebraic Perspectives

Speaker: Dr Michael Payne (La Trobe University)
Time & Date: 14.00 pm AEST; Friday 9 November 2018
Venue: Room 310 (Access Grid Room), Physical Sciences 2, La Trobe University, Bundoora Campus.

Abstract: Mathematicians have studied the geometry of points and lines in the plane since ancient times. Over the last century or so, combinatorial questions regarding incidences between points and lines have gained increasing attention. For example, Sylvester asked in 1893 whether a finite non-collinear set of points must necessarily determine a line with just two points, and bounding the minimum number of such lines remained an open problem until Tao and Green provided an (asymptotic) solution in 2012.

At the same time, the algebraic view of geometry flourished and algebraic geometry was developed into a deep and highly abstract theory. Researchers in combinatorial geometry initially found few uses for this theory, but recently more and more links are being discovered. In this talk I will discuss this history in the context of some combinatorial problems that particularly interest me, and give a gentle introduction to some of the links with algebraic geometry that are being uncovered.

AMSI logo Seminar Convenor: Dr Michael Payne (m.payne@latrobe.edu.au)

If you (and your colleagues) wish to participate, please:

  1. consult this AMSI web-page;
  2. book your own ACE room;
  3. ask your ACE technical people to contact Michael in advance of the seminar date, informing of your intention to participate.

This notice is available on the AMSI website:
Events > ACE Events

Location:Access Grid Room, Physical Sciences 2, La Trobe University, Bundoora Campus Map
URL:https://amsi.org.au/events/event/geometry-of-points-and-lines-in-the-plane-com...
Created:05 Nov 2018 11:08 pm UTC
Modified:05 Nov 2018 11:31 pm UTC
By:rmoore
Status:Confirmed
Updated: 05 Nov 2018
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