A^1-Homotopiegarben - neue Perspektiven

• Antragsteller: Anand Sawant, Ph.D.
• Fachliche Zuordnung: Mathematik
• Förderung: Förderung von 2017 bis 2019
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 355068532

• Erstellungsjahr: 2019

Zusammenfassung der Projektergebnisse

The A1-fundamental group of a split reductive group was computed. This computation was achieved by developing a cellular version of A1-homology and computing it in low degrees for split, semisimple, simply connected algebraic groups and their flag varieties. Using purely algebro-geometric methods, the sheaf of A1-connected components of a smooth projective surface, which is birationally ruled over a curve of genus > 0. As a consequence, Morel’s conjecture about the A1-invariance of the sheaf of A1-connected components was shown to hold for all smooth projective surfaces over an algebraically closed field of characteristic 0.

Projektbezogene Publikationen (Auswahl)

• A1-connected components of ruled surfaces
  Chetan Balwe, Anand Sawant