Topology Seminar (Introductory Talk): Scissor Congruence and Mixed Tate Motives

Seminar | May 8 | 2:10-3 p.m. | 740 Evans Hall

 Daniil Rudenko, University of Chicago

 Department of Mathematics

Scissor congruence theory of polytopes is an old subject going back to 19th century. One of its first major achievements was appearance of so-called Dehn invariant. This mysterious invariant could be properly understood and generalized in the context of the theory of mixed Hodge structures of mixed Tate type. I will explain this relation and show some applications to hyperbolic geometry.