Cellular A1-Homology of Smooth Algebraic Varieties

Explore a detailed mathematical conference talk that introduces cellular A1-homology, a groundbreaking homology theory for smooth algebraic varieties over perfect fields. Delve into the fundamental concepts, precise conjectures about cellular A1-homology of smooth projective varieties, and examine their verification for smooth projective rational surfaces. Learn from this collaborative research presented by Anand Sawant, based on joint work with Fabien Morel, delivered at the Centre International de Rencontres Mathématiques during the thematic meeting "Motivic homotopy in interaction." Access this 67-minute presentation through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and comprehensive Mathematics Subject Classification for enhanced learning and reference.