Multiholomorphic Maps into G_2 Manifolds
Speaker: Aaron Smith, University of Waterloo
Abstract: I will discuss continuing recent work concerning the theory of multiholomorphic maps. These are special maps between Riemannian manifolds equipped with vector cross products which intertwine geometric structures between the domain and target. A special case of this theory is the well known theory of pseudoholomorphic curves. I will discuss some of the fundamental analytic issues arising in this theory and prospects/impediments for defining invariants similar to those arising in the case of pseudoholomorphic maps. Special emphasis will be devoted to a case involving maps of 3-manifolds into a G_2-manifold target. This all has close connections to special holonomy manifolds and calibrated geometry.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm