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Sanghoon Baek, Relationship between the Chow and Grothendieck Rings for Generic Flag Varieties

January 25, 2022 @ 3:00 pm - 4:00 pm KST

B266, IBS Korea, Republic of

     Speaker

Consider the canonical morphism from the Chow ring of a smooth variety X to the associated graded ring of the coniveau filtration on the Grothendieck ring of X. In general, this morphism is not injective. However, Nikita Karpenko conjectured that these two rings are isomorphic for a generic flag variety X of a semisimple group G, where he confirmed the conjecture for a simple group G of type A or C. Recently, this conjecture was disproved by Nobuaki Yagita for some spin groups G. We will discuss further counter-examples using the K-theoretical Pieri formula for highest orthogonal grassmannians. This is joint work with Nikita Karpenko.

Details

Date:
January 25, 2022
Time:
3:00 pm - 4:00 pm KST
Event Category:
Event Tags:

Venue

B266
IBS Korea, Republic of

Organizer

Yongnam Lee
IBS 복소기하학연구단 Center for Complex Geometry
기초과학연구원 복소기하학연구단
대전 유성구 엑스포로 55 (우) 34126
IBS Center for Complex Geometry
Institute for Basic Science (IBS)
55 Expo-ro Yuseong-gu Daejeon 34126 South Korea
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