University of Cambridge > > Isaac Newton Institute Seminar Series > Borel regulator, zeta-motives and moduli of abelian varieties (tropical or otherwise)

Borel regulator, zeta-motives and moduli of abelian varieties (tropical or otherwise)

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact nobody.

KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

I will try to describe a rich landscape of ideas which relates the symmetric spaces for the general linear group, and the moduli spaces of topical curves and abelian varieties.  A classical result due to Siegel interprets the volume of the former as a product of Riemann zeta values.  As explained in the abstract of the workshop, this underpins the interpretation of zeta values as Borel regulators.  After reviewing this I will explain how to interpret a single odd zeta value as a piece of a regulator integral (joint with Schnetz and Yeats) and define the associated motive.  Applications include the construction of infinitely many new cohomology classes in the moduli space of abelian varieties, both tropical and classical. 

This talk is part of the Isaac Newton Institute Seminar Series series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2024, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity