Speaker: Jinhyun Park, KAIST
When: June 10, 2021, Thursday, 16:00--17:15
Where: Online

Title: What is (and should be) motivic cohomology, and why one cares about it
Abstract: In topology, (co)homology offers algebraic means to understand topological spaces from computational points of view.

In algebraic geometry, we want to have similar theories. Certain problems, such as the Weil conjectures, were solved through constructing some cohomology theories. In general various mathematical results can be understood as “cohomological phenomena”.

In this colloquium talk, I will sketch the brief history on cohomology in general, what 'motivic cohomology' may mean, and what connections they may have to various mathematical results.