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Stefan Reppen: A brief introduction to the Hodge, Tate and Mumford-Tate conjectures

Time: Fri 2019-10-18 13.00 - 14.00

Location: Sal 31, hus 5, Kräftriket

Participating: Stefan Reppen, SU


Both the Hodge and the Tate conjecture concern the algebraicity of certain cohomology classes invariant under certain group actions (the Mumford-Tate group respectively the Galois group). The Mumford-Tate conjecture is (somewhat of) a bridge between the other two. In this talk we briefly present the three conjectures and state some known results. If there is time we give a presentation of a motivic version of the conjectures.