Claudia Rüdiger

Thor Wittich (HHU Düsseldorf): From Operations on Milnor-Witt K-theory to Motivic Knot Invariants

Wednesday, 19.06.2024 16:30 im Raum M4

Mathematik und Informatik

Abstract: Understanding (co-)homology operations has shown to be very useful in algebraic topology and algebraic geometry. In this talk we focus on operations of an invariant called Milnor-Witt K-theory, where the latter is an invariant of smooth algebraic varieties which arises naturally in motivic homotopy theory. The structure of the talk is as follows. We start with a short introduction to motivic homotopy theory and in particular to Milnor-Witt K-theory. Afterwards we explain results on additive, stable and non-additive operations on Milnor-Witt K-theory. Finally, we indicate how these operations lead to motivic knot invariants. The last part is ongoing joint work with Matthias Wendt based on unpublished ideas of Aravind Asok and Matthias Wendt.

Angelegt am 13.05.2024 von Claudia Rüdiger
Geändert am 13.05.2024 von Claudia Rüdiger
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