Title of Seminar: Algebraic Geometry Preprint Seminar
Title of Talk: On decompositions for Fano schemes of intersections of two quadrics
Speaker: Gopinath Sahoo, TIFR, Mumbai
Date: October 28, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In the preprint - https://arxiv.org/abs/2403.12517, the authors propose conjectural semi-orthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated curves. They provide evidence for the conjectures by obtaining formulae for the Hodge numbers of these Fano schemes. In this talk, I will focus on the odd-dimensional case and give an overview of these conjectures and briefly explain the evidence provided by the authors.
Title of Talk: On decompositions for Fano schemes of intersections of two quadrics
Speaker: Gopinath Sahoo, TIFR, Mumbai
Date: October 28, 2024
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In the preprint - https://arxiv.org/abs/2403.12517, the authors propose conjectural semi-orthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated curves. They provide evidence for the conjectures by obtaining formulae for the Hodge numbers of these Fano schemes. In this talk, I will focus on the odd-dimensional case and give an overview of these conjectures and briefly explain the evidence provided by the authors.