29/10/2013, 16:30 — 17:30 — Room P3.10, Mathematics Building
Gonçalo Oliveira, Imperial College
Monopoles in Higher Dimensions
The Monopole (Bogomolnyi) equations are Geometric PDEs in 3 dimensions. In this talk I shall introduce a generalization of the monopole equations to both Calabi Yau and \(G_2\) manifolds. I will motivate the possible relations of conjectural enumerative theories arising from "counting" monopoles and calibrated cycles of codimension 3. Then, I plan to state the existence of solutions and sketch how these examples are constructed.