Tsinghua Icon Number Theory Group at Tsinghua University

Projective bundle theorem in MW-motives

Time: Thu, 2 Jul 2020, 10:00-11:00

Place: Online

Speaker: Nanjun Yang (YMSC, Tsinghua University)

Abstract:

We present a version of projective bundle theorem in MW-motives (resp. Chow-Witt rings), which says that (ℙ(E)) is determined by (X) and (X × ℙ²) for smooth quasi-projective schemes X and vector bundles E over X with odd rank. If the rank of E is even, the theorem is still true under a new kind of orientability, which we call it by projective orientability.

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