Schubert Calculus and Symplectic Gelfand-Zetlin Polytopes

Student: Padalko Mariia

Educational Programme: Mathematics and Mathematical Physics (Master)

Final Grade: 7

Year of Graduation: 2017

Geometric mitosis arises from mitosis for diagrams corresponding to permutations introduced by E. Miller and A. Knutson. In this work we consider symplectic Gelfand-Zetlin polytope and apply mitosis to its faces. The main conjecture connects volumes of these faces and the degrees of Schubert varieties. For symplectic groups of small dimensions we prove this conjecture in certain cases.

Full text (added June 6, 2017)

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