Kavli IPMU Associate Professor Tomoyuki Abe Awarded the 2017 Mathematical Society of Japan Spring Prize
March 27, 2017
Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU)
The Mathematical Society of Japan (MSJ) has awarded Kavli IPMU Associate Professor Tomoyuki Abe the 2017 MSJ Spring Prize.
The award ceremony was held on March 25 during the MSJ’s Annual Meeting at Tokyo Metropolitan University.
Originally established in 1973 as the MSJ Iyanaga Prize, the MSJ Spring Prize was inaugurated in 1988. The prize, which is the highest recognition for members of the MSJ, is awarded annually to mathematicians who are under 40 years old and have produced excellent research results.
Associate Professor Abe was recognized for his contributions to the “study of arithmetic D-module theory and Langlands correspondence.”
There are mainly two cohomology theories for varieties over fields of positive characteristic: one with a topological nature and the other with a more analytic nature. Deligne conjectured that these two cohomology theories have similar information. Associate Professor Abe used a variant of "analytic cohomology theory," which is called theory of arithmetic D-modules, to establish Langlands type correspondence, and verified a part of Deligne's hope. His research is difficult to understand, but you may get some idea from his article in the Kavli IPMU News, No. 35, pp. 4 - 9.