Joseph Grotowski

University of Queensland (Australia)

Two-dimensional harmonic map heat flowversus four-dimensional Yang-Mills heat flow

The two geometric flows in the title are the gradient flows associated to certain energy functionals. In the considered dimension, (i.e. dimension two for the harmonic map heat flow, dimension four for the Yang-Mills heat flow), the associated energy functional is (locally) conformally invariant, that is, the dimension is critical. In this talk we discuss similarities and differences between the flows in certain symmetric situations.