| Sunday 5 May 2024 | |
| Events for day: Tuesday 02 November 2021 |
| 16:30 - 18:00 Algebraic Geometry Biweekly Webinar Vector Bundles on Toric Varieties School MATHEMATICS In this talk we review construction of toric varieties and classification of (torus equivariant) line bundles and vector bundles on them (after Klyachko). We interpret Klyachko's data of a vector bundle as a "piecewise linear map" into the Tits building of the general linear group GL(r). This "building" perspective helps to approach many questions about vector bundles on toric varieties in a new light. As an application of this idea, we obtain a classification of (torus equivariant) vector bundles on toric schemes in terms of "piecewise affine maps" to the Bruhat-Tits building of GL(r). |