SMS scnews item created by Dominic Tate at Sun 20 Aug 2017 1612
Type: Seminar
Distribution: World
Expiry: 19 Nov 2017
Calendar1: 21 Aug 2017 1700-1800
CalLoc1: Carslaw 535A
CalTitle1: MaPSS: Nathan Duignan -- Regularisation for Singular Points of Planar Vector Fields
Auth: dominict@14-200-3-233.static.tpgi.com.au (dtat6918) in SMS-WASM

# MaPSS: Mathematical Postgraduate Seminar Series: Duignan -- Regularisation for Singular Points of Planar Vector Fields

Dear All,

We are delighted to present the MaPSS Seminar topic of Monday 21/08; please see the
abstract below.

**This Semester the Seminar will always run on Monday, at 5:00pm in 535A**

Following the talk, there will be pizza on offer.

Speaker: Nathan Duignan (Sydney University)

Title: Regularisation for Singular Points of Planar Vector Fields

Abstract:
Regularisation for vector fields is concerned with the continuation of solutions through
singular points.  Many of the core ideas and definitions of regularisation were
developed to understand the collision singularities of the n-body problem.  Although
binary collisions are understood via the Levi-Civita regularisation, there are
conjectures about the finite differentiability of nearby orbits of simultaneous binary
collisions.  This presentation will take a relaxed look at a modern, geometrical
understanding of regularisation for singular points of planar vector fields.  The
primary aim is to introduce the key concepts underpinning the conjecture and provide a
mechanism that causes orbits near regularisable singular points to become finitely
differentiable.