Quadratic Atiyah-Bott Localisation
December 14 at 14:15 – 15:15 CET
Alessandro d’Angelo (Stockholm)
Abstract: The Atiyah-Bott localisation theorem and the Graber-Pandharipande virtual localisation formula are standard tools for studying enumerative problems in the presence of a torus action. M. Levine proved similar results for Witt sheaf cohomology, allowing us to retain quadratic information about the enumerative count. We will show how to extend the Atiyah-Bott localisation theorem to any SL-oriented motivic spectrum, once the algebraic Hopf map is inverted. As an application, we will also provide the appropriate virtual localisation formula for fundamental classes in this context.
Zoom Meeting-ID: 967 5163 9626
Passcode: last name of famous mathematician born in Königsberg (small letters)