Description
Mathematics Colloquium.
Speaker: Jinhyun Park.
Affiliation: KAIST, Republic of Korea.
Date and Time: Thursday 28 November, 4:00 pm - 5:00 pm.
Venue: Ramanujan Hall, Department of Mathematics.
Title: On motivic cohomology for schemes with singularities.
Abstract: On smooth k-schemes, it is known that the higher Chow groups of
S. Bloch give what is called the motivic cohomology theory on them. When
schemes admit singularities, this has been yet unresolved.
In this talk, I will give a sketch of a recent new construction, which
gives a functorial theory on the category of all schemes of finite type.
To motivate the audience, I will begin with basic motivating examples from
1st year graduate course level differential forms, and proceed to build up
on it to give a sketch, and discuss some consequences and questions.