## Geometry and Topology

•  Yuanqi Wang
•  Moduli space of G2-instantons on 7-dimensional product manifolds
•  11/01/2018
•  11:00 AM - 12:00 PM
•  C304 Wells Hall

$G_2$-instantons are 7-dimensional analogues of flat connections in dimension 3. It is part of Donaldson-Thomas’ program to generalize the fruitful gauge theory in dimensions 2,3,4 to dimensions 6,7,8. The moduli space of $G_2$-instantons, with virtual dimension 0, is expected to have interesting geometric structure and yield enumerative invariant for the underlying 7-dimensional manifold. In this talk, in some reasonable special cases and a fairly complete manner, we will describe the relation between the moduli space of $G_2$-instantons and an algebraic geometry moduli on a Calabi-Yau 3-fold.

## Contact

Department of Mathematics
Michigan State University