Seminars: I. V. Maresin, The complex structure problem in geometry of curved spacetime

SEMINARS


Complex analysis and mathematical physics March 7, 2017 16:00, Moscow, Steklov Mathematical Institute, Room 430 (8 Gubkina)

The complex structure problem in geometry of curved spacetime I. V. Maresin Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Abstract: First, we’ll recall the complex structure problem in R. Penrose’s Twistor Programme. Then, we’ll principally analyse the spacetime geometry via contact structure. In particular, we’ll consider possible construction for a global spinor bundle that should give the $\bar\partial$ operator on sections restricted to a sky. It uses so named reverse conformal reference frame, which is based on the contact $ST^M$ bundle. These constructions will be connected with theory of gravitation. Related to arXiv:1605.07070, to appear in Theor.Math.Phys. Website:* https://course.irccity.ru/celestial/2017.html