Coulomb branches and affine quantum groups / Branches de Coulomb et groupes quantiques affines

Collection Coulomb branches and affine quantum groups / Branches de Coulomb et groupes quantiques affines

Organizer(s) Hernandez, David ; Shan, Peng ; Varagnolo, Michela ; Vasserot, Eric

Date(s) 06/07/2026 - 10/07/2026

linked URL https://conferences.cirm-math.fr/3599.html

00:00:00 / 00:00:00

3 5

Category O for shifted Yangians and the bi-infinite Bott-Samelson variety

By Joel Kamnitzer

Shifted Yangians admit a family of coproducts which makes the direct sum of Grothendieck groups of their category Os into a ring, K(Osh). On the other hand, the Grothedieck groups of category O for truncated shifted Yangians (which are Coulomb branch algebras for ADE quiver gauge theories) carry G- actions. I will explain the interaction between the ring structure and the G-action. In particular, we show that K(Osh) is isomorphic to the Cox ring of a bi-infinite Bott-Samelson variety. Along the way, I will explain the proofs of some conjectures of Hernandez and co-authors. This is joint work with Antoine Labelle, Alexis Leroux-Lapierre, Th´eo Pinet, and Alex Weekes.

Information about the video

Date of recording 09/07/2026
Date of publication 03/08/2026
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20513203
Cite this video Kamnitzer, Joel (09/07/2026). Category O for shifted Yangians and the bi-infinite Bott-Samelson variety. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20513203
URL https://dx.doi.org/10.24350/CIRM.V.20513203

Domain(s)

Representation Theory

Bibliography

KAMNITZER, Joel, LABELLE, Antoine, LEROUX-LAPIERRE, Alexis, et al. Category $\mathcal {O} $ for truncated shifted Yangians and the bi-infinite Bott-Samelson variety. arXiv preprint arXiv:2607.04480, 2026. - https://doi.org/10.48550/arXiv.2607.04480

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