Home /  Graduate Student Seminar: Higher A^1-coverings

Seminar

Graduate Student Seminar: Higher A^1-coverings September 18, 2026 (10:00 AM PDT - 11:00 AM PDT)
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Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Marco Giustetto (Universität Osnabrück)
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We will give a (very) quick overview of Morel's theory of A^1-coverings and discuss some of its applications -- for instance, motivic knots. We will then introduce A^1-n-coverings, present a classification theorem for them -- analogous to the topological classification of coverings -- and give a variety of examples. Finally, we will answer a question of Morel on a geometric criterion for recognizing A^1-coverings between schemes over a field. This is based on joint work with Thor Wittich.

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