Localization and virtual localization, with applications to quadratic curve counts and DT invariants | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Localization and virtual localization, with applications to quadratic curve counts and DT invariants

Appears in collection : Motivic homotopy in interaction / Homotopie motivique en interaction

We report on the development of localization methods useful for quadratic enumerative invariants, replacing the classical Gm-action with an action by the normalizer of the diagonal torus in SL2. We discuss applications to quadratic counts of twisted cubics in hypersurfaces and complete intersections (joint with Sabrina Pauli) as well as work by Anneloes Vierever, and our joint work with Viergever on quadratic DT invariants for Hilbert schemes of points on P3 and on (P1)3.

Information about the video

Date of recording 04/11/2024
Date of publication 18/11/2024
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.20259503
Cite this video Levine, Marc (04/11/2024). Localization and virtual localization, with applications to quadratic curve counts and DT invariants. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20259503
URL https://dx.doi.org/10.24350/CIRM.V.20259503

Domain(s)

Bibliography

LEVINE, Marc. Virtual Localization in equivariant Witt cohomology. arXiv preprint arXiv:2203.15887, 2022. - https://doi.org/10.48550/arXiv.2203.15887
LEVINE, Marc. Atiyah-Bott localization in equivariant Witt cohomology. arXiv preprint arXiv:2203.13882, 2022. - https://doi.org/10.48550/arXiv.2203.13882
LEVINE, Marc et PAULI, Sabrina. Quadratic counts of twisted cubics. arXiv preprint arXiv:2206.05729, 2022. - https://doi.org/10.48550/arXiv.2206.05729
Perspectives on four decades of algebraic geometry Volume 2: in Memory of Alberto Collino, Progress in Mathematics volume 352 (released in 2025) -

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback