Seminars & Colloquia Calendar

Download as iCal file

Geometric Analysis Seminar

Monopoles and Fueter sections on three-manifolds

Aleksander Doan - Stony Brook

Location:  Hill 705
Date & time: Tuesday, 02 April 2019 at 3:00PM - 4:20PM

Abstract: Over the last thirty years, the study of the Seiberg--Witten equations has led to spectacular advances in low-dimensional topology. In my talk, I will explain a generalization of the Seiberg--Witten equations and its conjectural relationship to Fueter sections, solutions of a non-linear version of the Dirac equation. I will then state some results, obtained in collaboration with Thomas Walpuski, which make progress towards proving this conjectural relationship. While generalized Seiberg--Witten equations are unlikely to lead to new invariants of low-dimensional manifolds, they have an intriguing connection to the geometry of higher-dimensional Riemannian manifolds with special holonomy.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.