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SUMMARY:CANCELLED Exponential motives and the Fourier transform - Simon Pe
 pin lehalleur (Freie Universität Berlin)
DTSTART:20200326T090000Z
DTEND:20200326T100000Z
UID:TALK141163@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION: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 ch
 aracteristic. They exhibit motivic-like properties - weights\, a kind of H
 odge filtration\, a period isomorphism - but do not fit into the classical
  theory of motives. Building on ideas of Kontsevich-Soibelman and Fres&aac
 ute\;n-Jossen\, we construct triangulated categories of exponential Voevod
 sky motives equipped with functors realising exponential cohomology theori
 es. More generally\, we associate to any "six operation formalism" an expo
 nential version. Unlike classical motivic sheaf theories\, these exponenti
 al sheaf theories come with a built-in Fourier-Deligne transform\, which p
 lays a key role in the construction of exponential realisations. This is j
 oint work in progress with Javier Fres&aacute\;n and Martin Gallauer.  &nb
 sp\;  <br><br><br><br><br>
LOCATION:Seminar Room 1\, Newton Institute
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