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Pure Math Graduate Student Seminar: Reeshad Arian, Geometry over \mathbb{F}_1

January 23, 2023 | 2:00 pm - 3:00 pm EST

Even though the field with one element, \mathbb{F}_1, is a meaningless concept, shadows of it have been apparent in multiple categorical analogies. More immediately, one can generalize multiple constructions from algebraic geometry over \mathbb{F}_{p^n} to general commutative monoids, which behave like rings over this elusive \mathbb{F}_1. In this talk we define, via this analogy, schemes over \mathbb{F}_1, and consider zeta functions over \mathbb{F}_1 varieties. These results are taken from arXiv:math/0404185.


Zoom Meeting link:


January 23, 2023
2:00 pm - 3:00 pm EST
Event Category:


SAS 2102