Clay Research Awards

In the 1990s, a series of dramatic results led to the completion of the Gromov program for lattices in semisimple Lie groups. The next natural class of examples to consider are lattices in solvable Lie groups, and even results for the simplest examples were elusive for a considerable time. Fisher’s joint work with Eskin and Whyte in which they proved the first results on quasi-isometric classification of lattices in solvable Lie groups was discussed. The results were proven by a method of coarse differentiation, which was outlined.