Skip to Main Content

Symplectic deformations and the Type IIA flow with Dr. Teng Fei from Rutgers University Newark

This is a past event.

Friday, October 28, 2022 at 1:30pm to 2:30pm

DM - Deuxieme Maison, 409A
11200 SW 8th ST, Deuxieme Maison, Miami, Florida 33199

Abstract: The equations of flux compactification of Type IIA superstrings were written down by Tomasiello and Tseng-Yau. To study these equations, we introduce a natural geometric flow known as the Type IIA flow on symplectic Calabi-Yau 6-manifolds. We prove the well-posedness of this flow and establish the basic estimates. We show that the Type IIA flow can be applied to find optimal almost complex structures on certain symplectic manifolds. We prove the dynamical stability of the Type IIA flow, which leads to a proof of stability of the Kahler property for Calabi-Yau 3-folds under symplectic deformations. This is based on joint work with Phong, Picard and Zhang.

Event Type

Academics, Lectures & conferences

Audience

Students, Faculty & Staff

Tags

GEOMETRY AND TOPOLOGY

Website

https://case.fiu.edu/mathstat/

Department
Department of Mathematics and Statistics
Hashtag

#mathematics

Add to Calendar
Google Calendar iCal Outlook

Recent Activity