The mathematical advances made this year are so complex that other mathematicians have had a hard time understanding them, but they have already led to advances in other areas of mathematics.
In May, Sam Ruskin The culmination of decades of research, Dr. and his colleagues at Yale University have published a series of five papers totaling more than 1000 pages that prove the geometric Langlands conjecture. This problem is actually a simpler formulation of a much grander mathematical project, the Langlands program, which aims to:
Source: www.newscientist.com