Manchester Geometry Seminar - Theodore Voronov
Dates: | 19 February 2024 |
Times: | 15:00 - 16:00 |
What is it: | Seminar |
Organiser: | Department of Mathematics |
Who is it for: | University staff, External researchers, Current University students |
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Speaker: Dr Theodore Voronov (Manchester)
Title: The weighted projective superspace with weights $+1, -1$ and an analog of the Fubini--Study form
Abstract:
I will speak about a construction that came about as a by-product on the work on super-Pluecker embedding of super Grassmannians. It turned out that instead of ordinary projective space or superspace, one has to use as the target space a peculiar version of weighted projective spaces, namely, with weights 1 and -1. It apparently has independent interest. Unlike the familiar weighted projective spaces with positive weights, this one is nonsingular. It is a smooth (super)manifold and actually has a description in terms of classical bundles. We show that it possesses a symplectic form, which is an analog of the Fubini-Study form. (Based on joint work with Ekaterina Shemyakova.)
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Frank Adams Room 1
Alan Turing Building
Manchester