Title of Seminar: Algebraic Geometry Preprint Seminar 2022
Title of Talk: Counting maximal degree subbundles of vector bundles: (usual and symplectic cases)
Speaker: Arkamouli Debnath
Date: December 13, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The problem of counting maximal degree subbundles of a usual vector bundle on a curve has been addressed by several Mathematicians since roughly the 1980s. The most general result was proved by Y.Holla in 2004. In their 2019 preprint ?Counting Maximal Lagrangian Subbundles Over An Algebraic Curve? the authors D.Cheong, I.Choe and G.Hitching address the same question for symplectic vector bundles. The proof for the symplectic case, just like the usual case, relies on intersection theory on a certain Quot scheme and the Vafa-Intriligator formula. In this talk, I will first go through the ideas behind the proof of the usual case and then the Symplectic case. The arxiv link is : https://doi.org/10.48550/arXiv.1903.04238
Title of Talk: Counting maximal degree subbundles of vector bundles: (usual and symplectic cases)
Speaker: Arkamouli Debnath
Date: December 13, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: The problem of counting maximal degree subbundles of a usual vector bundle on a curve has been addressed by several Mathematicians since roughly the 1980s. The most general result was proved by Y.Holla in 2004. In their 2019 preprint ?Counting Maximal Lagrangian Subbundles Over An Algebraic Curve? the authors D.Cheong, I.Choe and G.Hitching address the same question for symplectic vector bundles. The proof for the symplectic case, just like the usual case, relies on intersection theory on a certain Quot scheme and the Vafa-Intriligator formula. In this talk, I will first go through the ideas behind the proof of the usual case and then the Symplectic case. The arxiv link is : https://doi.org/10.48550/arXiv.1903.04238