University of Cambridge > > Isaac Newton Institute Seminar Series > CANCELLED Exponential motives and the Fourier transform

CANCELLED Exponential motives and the Fourier transform

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

If you have a question about this talk, please contact INI IT.

KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

Varieties equipped with a regular function admit interesting “exponential” cohomology theories: rapid decay cohomology, twisted de Rham cohomology in characteristic 0, twisted l-adic cohomology in positive characteristic. They exhibit motivic-like properties – weights, a kind of Hodge filtration, a period isomorphism – but do not fit into the classical theory of motives. Building on ideas of Kontsevich-Soibelman and Fresán-Jossen, we construct triangulated categories of exponential Voevodsky motives equipped with functors realising exponential cohomology theories. More generally, we associate to any “six operation formalism” an exponential version. Unlike classical motivic sheaf theories, these exponential sheaf theories come with a built-in Fourier-Deligne transform, which plays a key role in the construction of exponential realisations. This is joint work in progress with Javier Fresán and Martin Gallauer.  

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.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity