23/11/14 22:49:07.26 TbgJpCn0.net
The new geometry of monoids furnished by IUT may be understood as the result of a seminal encounter between Grothendieck’s principle of resolving the tension between the discrete and continuous realms, on the one hand, and p-adic Hodge theory and height theory, on the other, and opens a new research frontier that goes beyond the Grothendieck geometry of rings-schemes by providing a unifying framework for Diophantine and anabelian arithmetic geometry.