most recent 30 from http://mathoverflow.net 2013-05-26T06:01:16Z http://mathoverflow.net/feeds/user/5261 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/20147/what-would-a-graduate-course-on-systolic-geometry-typically-cover/20878#20878 Dominic Dotterrer 2010-04-10T00:57:27Z 2010-04-10T00:57:27Z

<p>This is interesting. I imagine that any course would vary quite a bit depending on who taught it.</p> <p>Any course should probably contain Gromov's proof of the systolic inequality for essential manifolds. Other than that, I am not sure. The course could dive into systoles on surfaces and some of the arithmetic constructions in Teichmuller theory, or it could develop harmonic maps and scalar curvature rigidity theorems, or it could take a dynamical systems approach and discuss the relationship between volume entropy and closed geodesics.</p> <p>I have no idea. You should come up with a curriculum and post it here.</p>