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NCTS Number Theory Seminar
 
13:30 - 14:30, October 21, 2021 (Thursday)
Cisco Webex, Online seminar
(線上演講 Cisco Webex)
Generic Monodromy of Drinfeld Modular Varieties in Special Characteristic
Florian Breuer (University of Newcastle)

Abstract:

By combining theorems of Drinfeld and Strauch, we show that the monodromy representation on the special fiber of a Drinfeld modular variety, with level not divisible by the characteristic, is surjective. 
We illustrate this result in the special case of Drinfeld -modules in level , and apply this to show that the Kronecker factors of a Drinfeld modular polynomial in rank r are irreducible. 
This is joint work with Gebhard Böckle.
 
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