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Jorge Olarte: The tropical symplectic Grassmannian

Time: Wed 2021-11-10 10.15 - 11.15

Location: Zoom meeting ID: 654 5562 3260

Participating: Jorge Olarte (TU Berlin)

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Abstract: The symplectic Grassmannian SpGr(k,2n) is the space of a all linear subspaces of dimension k of a vector space of dimension 2n which are isotropic with respect to a symplectic form. We look at several equivalent characterizations of isotropic linear subspaces and formulate a tropical analogue for each, such as, for example, being in the tropicalization of the symplectic Grassmannian. It turns out that in the tropical world these characterizations are no longer equivalent and we will see exactly for which k and n does one characterization imply another. This is joint work with George Balla.

Zoom meeting ID: 654 5562 3260

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The seminar can also be viewed in room 3721.