Recent gluing constructions in Geometry and the gluing methodology

Nicos Kapouleas
Brown University; Member, School of Mathematics
November 7, 2018

Abstract: I will first concentrate on doubling gluing constructions for minimal surfaces, including a recent construction for free boundary minimal surfaces in the unit ball (with D. Wiygul: arXiv:1711.00818).

 

I will then discuss the Linearized Doubling methodology and its applications so far (J.  Differential Geom. 106:393-449, 2017; and with P. McGrath: arXiv:1707.08526),

and some further ongoing work expanding the scope of these methods to new cases.