Posted in

Speaker:

Iuliya Beloshapka
Affiliation:

Steklov Inst., Moscow/MPIM
Date:

Tue, 2016-12-06 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics Atiyah's theorem establishes a bijection between the moduli space of G-instantons on

R^{4} and the space of based holomorphic 2-spheres in the loop space \Omega G of a

gauge group G. There is a conjecture (due to A. Sergeev) which asserts that there should

exist a bijection between the moduli space of Yang--Mills G-fields on R^{4} and the space

of based harmonic 2-spheres in the loop space \Omega G. In this talk we will discuss this

conjecture and a twistor approach to harmonic 2-spheres in the loop space \Omega G.

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