- 9/10/2017: Invariant coassociative 4-folds via gluing
- 6/8/2017: Calibrated submanifolds of G2 and Spin(7) manifolds with conical singularities
September 10, 2017
TITLE: Invariant coassociative 4-folds via gluing
ABSTRACT: Coassociative 4-folds in R7 with symmetry have been studied by several authors, including Harvey-Lawson and Bryant. Such submanifolds with S1-symmetry locally exist in abundance, but few global examples are known. I will describe joint work with Nicos Kapouleas which produces infinitely many embedded, asymptotically conical, S1-invariant coassociative 4-folds in R7 by a gluing method.
June 8, 2017
TITLE: Calibrated submanifolds of G2 and Spin(7) manifolds with conical singularities
ABSTRACT: I will give a brief survey of known results in the study of compact calibrated submanifolds with conical singularities in exceptional holonomy manifolds. In particular, I will describe their deformation theory, desingularization results and applications, including the construction of examples and potential connections to calibrated fibrations.