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Nonabelian Tsfasman-Vladuts formula

Posted in
Dmitry Kubrak
Wed, 2020-11-25 14:30 - 15:30
Parent event: 
Number theory lunch seminar

Zoom Online Meeting ID: 919 6497 4060
For password see the email or contact Pieter Moree (moree@mpim...).

In the 90's Tsfasman and Vladuts proved an asymptotic formula for the growth of the class number in a tower of curves over a finite field with growing genus. They expressed the answer as a weighted (infinite) sum of certain constants associated to the tower. I will talk about a natural generalization of their formula where we replace the class number (= number of points of Pic^0) with the number of semistable G-bundles for a split reductive group G. The answer turns out to be expressed as a weighted sum of the same constants but with weights depending on G in a nice and controllable way.

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