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harenbrh

Oberseminar Algebra und Geometrie: Severin Barmeier: A Lie theoretical approach to Homological Mirror Symmetry

am Mittwoch, 18.07.2018 16:15 im Raum SR1C
Mathematik und Informatik

Abstract: "The Homological Mirror Symmetry conjecture predicts a relationship between the Fukaya category of a symplectic manifold and the category of coherent sheaves on a smooth algebraic variety. A recent result by Gasparim-Grama-San Martin uses Lie theory to construct symplectic Lefschetz fibrations on adjoint orbits of semi-simple Lie algebras. We calculate the Fukaya category of an adjoint orbit of sl(2,C) and show it cannot be equivalent to the derived category of a projective variety, although we can identify it with a triangulated subcategory of the derived category of the second Hirzebruch surface."



Angelegt am Montag, 09.07.2018 13:09 von harenbrh
Geändert am Dienstag, 17.07.2018 09:42 von folkeri
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