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Schubert calculus and self-dual puzzles
Multi angle
Authors : Halacheva, Iva (Author of the conference)
CIRM (Publisher )
05E10 - Combinatorial aspects of representation theory
14M15 - Grassmannians, Schubert varieties, flag manifolds
CIRM (Publisher )
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Abstract :
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.
MSC Codes : This is joint work in progress with Allen Knutson and Paul Zinn-Justin.
05E10 - Combinatorial aspects of representation theory
14M15 - Grassmannians, Schubert varieties, flag manifolds
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 18/04/2019 Conference Date : 02/04/2019 Subseries : Research talks arXiv category : Representation Theory ; Combinatorics Mathematical Area(s) : Algebraic & Complex Geometry ; Algebra ; Combinatorics Format : MP4 (.mp4) - HD Video Time : 00:52:34 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-04-02_Halacheva.mp4 
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Information on the Event
Event Title : Symplectic representation theory / Théorie symplectique des représentationsEvent Organizers : Bellamy, Gwyn ; Ben-Zvi, David ; Schedler, Travis ; Schiffmann, Olivier ; Shan, Peng Dates : 01/04/2019 - 05/04/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1956.html
Citation Data
DOI : 10.24350/CIRM.V.19512003Cite this video as: Halacheva, Iva (2019). Schubert calculus and self-dual puzzles. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19512003 URI : http://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
