Quantum statistical mechanics and anabelian geometry |
Abstract: I will review constructions of quantum statistical mechanical systems (from the original Bost-Connes system to generalizations to arbitrary number fields) that exhibit interesting arithmetic properties. Following ongoing work with Gunther Cornelissen, I will show how these quantum statistical mechanical systems can be used to reconstruct a number field from a family of L-series. |
Web page: Alexandru I. Suciu | Comments to: andrei@neu.edu | |
Posted: March 29, 2011 | URL: http://www.math.neu.edu/bhmn/marcolli11.html |