Department of Mathematics  
Seminars  
Address: Mathematics
25337

Caltech

Pasadena,
CA 91125
Telephone: (626) 3954335  Fax: (626) 5851728 
Project MATHEMATICS!  Caltech Home 
Mathematics
Colloquium
2013  2014 
Tuesday,
January
28,
2014 4:00 p.m. // 151 Sloan Goncalo Tabuda (MIT)  An introduction to the theory of noncommutative motives. Abstract: The theory of motives was envisioned by Grothendieck in the sixties. In contrast, noncommutative motives were only recently introduced by Kontsevich. The central tenet of noncommutative motives is that one should not work with algebraic varieties but rather with their (bounded) derived category of coherent sheaves: the later carries much more symmetries than the former. In this talk I will survey the foundations of noncommutative motives and describe some applications. I will end the talk with some speculative remarks regarding where the research on noncommutative motives might take us. 
