Lecture 4: Taelman’s Class Module and Connection to Goss’ Zeta

Hi Everyone,

Sorry about the delay! Here’s our latest episode in the exploration of L. Taelman’s class and unit modules for the Carlitz module.

In this video Tim gives a nice refresher on the residue at one of the Dedekind zeta function of a number field followed by the Mazur-Wiles theorem in motivation for connections of classical zeta values with class groups. He then recalls Lenny’s class module and mentions some of the connections it has with Goss zeta values.

Please be warned that there are a couple typos in this video, but Tim has graciously typed up some follow up notes which can be found at:

http://www.math.osu.edu/~perkins.298/classmoduleupdated.pdf

Enjoy!

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