Thu, November 28, 2019
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4:00pm [4:00pm] Jinhyun Park:KAIST, Republic of Korea. : Mathematics Colloquium.
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.

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