## Differential Geometry Seminar: Quantization in geometric pluripotential theory

Seminar | September 17 | 3:10-4 p.m. | 939 Evans Hall

Tamás Darvas, University of Maryland

Department of Mathematics

Suppose $(X, \omega )$ is a Kähler manifold induced by an ample line bundle $(L, X)$. We introduce $L^p$-type Finsler structures on the space of holomorphic sections of $L^k$, and show that the resulting metric spaces quantize the $L^p$-Mabuchi metric structures on the space of Kähler metrics, up to their completion. This is joint work with C.H. Lu and Y.A. Rubinstein.

lott@math.berkeley.edu