Cellular A1-Homology of Smooth Toric Varieties
Organizers
Speaker
Keyao Peng
Time
Thursday, May 22, 2025 3:00 PM - 4:00 PM
Venue
A6-101
Online
Zoom 638 227 8222
(BIMSA)
Abstract
In this talk, we explore the calculations of cellular A1-homology for smooth toric varieties, an analog of classic cellular homology. We provide an explicit description of pure shellable cases and discuss the derivation of the (Milnor-Witt) motivic decomposition for these cases, inspired by classic results in real toric manifolds. These findings offer new and refined algebraic invariants for toric varieties, reflecting both their complex and real points. Additionally, we can present an additive basis for the Chow groups of general smooth toric varieties.