[geometry-ml:03453] MS seminar at Kavli IPMU -- Victoria Hoskins (Freie U Berlin) -- Sep 18, 2018

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU:

Speaker:	Victoria Hoskins (Freie Universität Berlin)
Date: Tue, Sep 18, 2018, 13:15 - 14:45
Place: Seminar Room A

Title: A formula for the motive of the moduli stack of vector bundles on a curve

Abstract: Following Grothendieck's vision that a motive of an algebraic variety should capture many of its cohomological invariants, Voevodsky introduced a triangulated category of motives which partially realises this idea. After describing some properties of this category, I will explain how to define the motive of certain algebraic stacks. I will then state and sketch a proof for the motive of the moduli stack of vector bundles on a smooth projective curve; this formula is compatible with classical computations of invariants of this stack due to Harder, Atiyah--Bott and Behrend--Dhillon. The proof involves rigidifying this stack using Quot and Flag-Quot schemes parametrising Hecke modifications as well as a motivic version of an argument of Laumon and Heinloth on the relative cohomology of small maps. This is joint work with Simon Pepin Lehalleur.

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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp