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Thursday, November 2, 2017

4:20 PM - 5:20 PM (ET)

Exley Science Center Tower ESC 121

Event Type

Seminar/Colloquium

Contact

Canalia, Caryn

2182

Link

https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=79079

Jonathan Huang, Wes

Title: Zeta
Functions, Witt rings, and a Classical Formula of MacDonald

Abstract:^{n}*X* of a space *X*. We show that this formula takes a very nice form when rewritten
in the big ring of Witt vectors *W *(ℤ[*z*]) of the polynomial ring ℤ[*z*]. We then provide some motivation for
similarly viewing the Hasse-Weil zeta function of varieties over finite fields as
elements in the big Witt ring *W *(ℤ). In this setting, the zeta
function *Z*(*X*, *t*) takes the form of
an Euler-Poincaré characteristic.