For this session, Tacos talks will be held live on Zoom!
The speakers for the ninth session, Hermitian Yang-Mills Connections are:
- Oscar García-Prada (ICMAT)
Kähler-Yang-Mills equations and gravitating vortices
I will start introducing the Kähler–Yang–Mills equations on a holomorphic vector bundle over a compact complex manifold. These equations, inspired by the Hitchin–Kobayashi correspondence for bundles and the Yau–Tian–Donaldson conjecture for constant scalar curvature Kähler metrics, intertwine the curvature of a Hermitian–Yang–Mills connection on the bundle and the scalar curvature of a Kähler metric on the manifold. After this, I will consider special symmetric solutions on a compact Riemann surface known as gravitating vortices.
- Mihai Păun (Bayreuth)
TBA
- Carl Tipler (LMBA)
Local Wall-Crossing and HYM Connections
We will review some recent results on the behaviour of Hermitian Yang-Mills connections with respect to variations of the polarisation. In particular, we will focus on their convergence when the polarisation reaches the boundary of the stable locus. The methods presented are versatile and can be used for similar perturbation problems for geometric PDEs with moment map pictures.
- Richard A. Wentworth (Maryland)
TBA
The conference will be held on May 28-30, 2024 with two 45-minute talks per day. Richard A. Wentworth will give two introductory talks on the topic, then, we will have four research-oriented talks, one from each of the speakers. The tentative schedule can be found below (with all times listed in US Eastern time):
May 28
- 11am: Richard A. Wentworth
- 12pm: Richard A. Wentworth
May 29
- 11am: Carl Tipler
- 12pm: Richard A. Wentworth
May 30
- 11am: Mihai Păun
- 12pm: Oscar García-Prada
The conference will be held online on Zoom: Zoom info TBA
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