We prove a Feynman-Kac-type formula for the heat flow acting on differential forms satisfying absolute boundary conditions on Riemannian manifolds with boundary and of bounded geometry.

# Differential Geometry & Geometric Analysis Seminar

The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry. Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.

For more information about this seminar, contact Otis Chodosh or Daniel Ketover.

**Please click on seminar title for complete abstract.**

##### A Feynman-Kac formula for differential forms on manifolds with boundary and applications

Universidade Federal Do Ceará