Distinguishing monotone Lagrangians via holomorphic annuli

Distinguishing monotone Lagrangians via holomorphic annuli

-
Ailsa Keating, University of Cambridge

Zoom link:

https://umontreal.zoom.us/j/94366166514?pwd=OHBWcGluUmJwMFJyd2IwS1ROZ0FJdz09

Alternate Zoom link:

https://theias.zoom.us/j/98165917888?pwd=bitwUVFVdjdVb1F3OTZTQTNqWHJjUT09

We present techniques for constructing families of compact, monotone (including exact) Lagrangians in certain affine varieties, starting with Brieskorn-Pham hypersurfaces. We will focus on dimensions 2 and 3. In particular, we'll explain how to set up well-defined counts of holomorphic annuli for a range of these families. Time allowing, we will give a number of applications.