Differential Geometry Seminar: Stability and Nonlinear PDE in mirror symmetry

Seminar | January 28 | 3:10-4 p.m. | 939 Evans Hall

 Tristan Collins, MIT

 Department of Mathematics

A longstanding problem in mirror symmetry has been to understand the relationship between the existence of solutions to certain geometric nonlinear PDES (the special Lagrangian equation, and the deformed Hermitian-Yang-Mills equation) and algebraic notions of stability, mainly in the sense of Bridgeland. I will discuss progress in this direction through ideas originating in infinite dimensional GIT. This is joint work with S.-T. Yau.