University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Toroidal b-divisors and applications in differential and arithmetic geometry

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Toroidal b-divisors and applications in differential and arithmetic geometry

Download to your calendar using vCal

If you have a question about this talk, please contact Dhruv Ranganathan .

We define toroidal b-divisors on a quasi projective variety over a field. These can be seen as conical functions on a balanced polyhedral space. We show the existence of an intersection pairing for so called nef toroidal b-divisors, which gives rise to a Monge-Ampére type measure on the polyhedral space. We then show some applications of this theory. On the one hand side, b-divisors are used to encode singularities of psh metrics and we derive Chern-Weil type formulae for such metrics on line bundles. On the other hand, using a Hilbert-Samuel formula, we compute asymptotic dimension formulae of spaces of automorphic forms on mixed Shimura varieties. Finally, if time permits, we connect our work to the notion of adelic line bundles of Yuan and Zhang, and outline some current research directions.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Senior Parlour, Gonville & Caius College Enterprise Tuesday 2016-2017 MR3, CMS Pavilion A

Other talks

TBC Title to be confirmed Title to be confirmed Group Work Dr Dinis Calado, Senior Group Leader, Immunity and Cancer Laboratory, the Francis Crick Institute Paediatric Medicine and Rheumatology
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity