

Complex analysis and mathematical physics
March 7, 2017 16:00–18:00, 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

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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:
http://course.irccity.ru/celestial/2017.html

