## Speaker:

Ilka Agricola

## Institution:

University of Marburg

## Time:

Tuesday, October 8, 2024 - 4:00pm to 5:00pm

## Host:

## Location:

RH 306

Abstract: We present a uniform description of SU(3) structures in dimension 6 as well as G_2 structures in dimension 7 in terms of a characterising spinor and the spinorial field equations it satisfies. We apply the results to hypersurface theory to obtain new embedding theorems, and give a general recipe for building conical manifolds. The approach sheds new light on connections with torsion and their invariants.