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Monodromy of convolution on elliptic curves and motives of $G_2$-type

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Michael Dettweiler (Bayreuth)

What
  • SFB-Kolloquium
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.

 

 

 

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