Speaker：Wieslaw Krawcewicz, Professor, Mathematical Sciences Department，

         The University of Texas at Dallas

Title： Recent Developments and Challenges in the Equivariant Degree Theory

Time：2015-12-18, 11:00-11:50am

Venue: Room 316 of Environment Building, Renmin University

Abstract：

1. Equivariant degree with no free parameters and its applications to symmetric BVP for ODEs (Reversible systems)

2. Gradient equivariant and its applications to variational systems (e.g. Newtonian systems applications to celestial mechanics).

3. Twisted equivariant degree with one or more free parameter and its applications to symmetric Hopf bifurcation. Hopf bifurcation from relative equilibria. Some elementary examples of such symmetric systems will be discussed.