## Geometry, Topology and Dynamics Seminar

Gabriele La Nave

UIUC

A new continuity method and the geometry of Kahler manfolds

**Abstract:**I will discuss the properties of a new continuity equation designed by myself and Gang Tian to study the geometry of Kahler manifolds vis a vis a geometric analytic generalization of the Minimal Model Program. This is a (degenerate) elliptic equation which (unlike the Ricci flow) preserves the lower bound on the Ricci curvature and therefore allows the use of Cheeger-Colding regularity theory to control Gromov-Hausdorff limits of sequences of solutions and therefore analyze the singularities at the singularity time (and possibly allow the introduction of surgery)

Monday January 23, 2017 at 3:00 PM in SEO 636