Monodromy of convolution on elliptic curves and motives of $G_2$-type
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SFB-Kolloquium
Michael Dettweiler (Bayreuth)
| What |
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|---|---|
| When |
Jun 21, 2018 from 03:30 pm to 04:30 pm |
| Where | 05-432 (Hilbertraum) |
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Abstract.
We describe the Tannakian structure of perverse sheaves $Perv(E)$ on an elliptic curve using the monodromy computation of convolutions $K_1*K_2$ for $K_1, K_2 \in Perv(E).$
The latter is obtained using the action of elliptic braid groups on certain singular cohomology groups.
This leads to an alternative proof of a result of N. Katz on the existence of certain motives of type $G_2$ and related new results.
