报告题目：The L^2 Geometry of Moduli Spaces of P^1 Vortices

主 讲 人：Martin Speight

单 位：英国利兹大学

时 间：7月9日16:00

ZOOM ID：967 3130 4375

密 码：123456

摘 要：

The gauged sigma model with target P^1supports two distinct species of vortex, one for each fixed point of the action of the structure group. Vortices of one species may coexist in stable equilibrium with antivortices of the other. The moduli space of such static solutions is noncompact, even on compact domains. It has a natural Riemannian metric which is of intrinsic geometric interest and encodes much useful information about the low energy dynamics of (anti) vortices. I will review what is known about this metric, concentrating on the moduli space of vortex-antivortex pairs, and describe some conjectures motivated by a formal compactification of the moduli space constructed using an auxiliary gauged linear sigma model. This seminar is based on joint work with NunoRomaoand Rene Garcia Lara.

简 介：

Martin Speight is a professor of mathematics at Leeds University, UK. Martin received his Ph.D. from Durham University in 1995 and has been a postdoc at Texas University at Austin, USA, and at the Max Planck Institute in Leipzig, Germany. Martin's research interests lie in the field of mathematical physics and geometrical formulations of physical and solitonic systems. He is especially known for his work on intervortex forces, on near-BPS Skyrmions, and on the concept of restricted harmonicity. Martin has published more than 50 papers in Phys. Rev. Lett.,Commun. Math. Phys., Phys. Rev. D, Phys. Rev. B, Phys. Lett. B,Nucl. Phys. B, Nonlinearity, Lett. Math. Phys., J. Math. Phys., J. Geom. Phys., J. Phys. A, Proc. Roy. Soc.Lond., etc.