## Topology

•  Selman Akbulut, MSU
•  Where do Seiberg-Witten equations come from?
•  09/17/2018
•  4:10 PM - 5:30 PM
•  C304 Wells Hall

The question in title is akin to asking where the equation of motion of a free falling object a + bt + 1/2 gt^2 in 3-space come from? then discovering that the "objects fall with constant acceleration" rule. Similarly, we derive Seiberg-Witten equations (which also have a linear part and a quadratic part) from the deformation equations of an "isotropic associative submanifold" of a complex G_2 Manifold. For this, we will define the notion of complex G_2 manifold and notion of complexification of a G_2 manifold (this is a joint work with Ustun Yildirim).

## Contact

Department of Mathematics
Michigan State University