Kolloquium
des SFBs 1442 Geometrie: Deformationen und Rigidität
am Donnerstag, 15. Juli 2021
um 16:15 Uhr als Hybrid-Event
im Hörsaal M1 und via Zoom
K-theory everywhere
Sprecher: Arthur Bartels
We will give a gentle introduction to K-theory and discuss its relevance in geometric topology and elsewhere.
Relation to arithmetic cohomology theories
Sprecher: Thomas Nikolaus
We explain how K-theory is related to arithmetic cohomology theories (through topological periodic homology) and how this new found and surpising relation leads to advances in both areas. This relation is the foundational result for Project A4 in the CRC. It can for example be used to calculate K-theory, but it also lead to the newly developed prismatic cohmology theory (of Bhatt and Scholze). We explain how K-theory is related to arithmetic cohomology theories (through topological periodic homology) and how this new found and surpising relation leads to advances in both areas. This relation is the foundational result for Project A4 in the CRC. It can for example be used to calculate K-theory, but it also lead to the newly developed prismatic cohmology theory (of Bhatt and Scholze).