Schubert calculus and self-dual puzzles | Vidéo | Carmin.tv

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Schubert calculus and self-dual puzzles

By Iva Halacheva

Appears in collections : Symplectic representation theory / Théorie symplectique des représentations, Exposés de recherche

Puzzles are combinatorial objects developed by Knutson and Tao for computing the expansion of the product of two Grassmannian Schubert classes. I will describe how selfdual puzzles give the restriction of a Grassmannian Schubert class to the symplectic Grassmannian in equivariant cohomology. The proof uses the machinery of quantum integrable systems. Time permitting, I will also discuss some ideas about how to interpret and generalize this result using Lagrangian correspondences and Maulik-Okounkov stable classes. This is joint work in progress with Allen Knutson and Paul Zinn-Justin.

Information about the video

Date of recording 02/04/2019
Date of publication 18/04/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19512003
Cite this video Halacheva, Iva (02/04/2019). Schubert calculus and self-dual puzzles. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19512003
URL https://dx.doi.org/10.24350/CIRM.V.19512003

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Bibliography

Halacheva, I., Knutson, A., & Zinn-Justin, P. (2019). Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles. arXiv:1811.07581 - https://arxiv.org/abs/1811.07581

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