|Wednesday 8 December 2021|
|Events for day: Tuesday 02 November 2021|
| 14:00 - 15:00 Weekly Seminar|
Holography of Information and Massive Islands
We will review recent results that suggest that, in any standard theory of quantum gravity, information available on the bulk of a Cauchy slice must also be available near the boundary of the slice. These ideas indicate how holography should be extended to four-dimensional asymptotically flat spacetimes but they also shed light on the origins of AdS/CFT. We contrast this picture with the paradigm of islands and argue that islands are consistent only in theories of massive gravity.
Date: Tuesday, November 2th
2:00 p.m (Tehran time)
16:30 - 18:00 Algebraic Geometry Biweekly Webinar
Vector Bundles on Toric Varieties
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).