Motives, Quantum Field Theory, and Pseudodifferential Operators (Clay Mathematics Proceedings)
| Author | : | |
| Rating | : | 4.47 (824 Votes) |
| Asin | : | 0821851993 |
| Format Type | : | paperback |
| Number of Pages | : | 349 Pages |
| Publish Date | : | 2014-02-16 |
| Language | : | English |
DESCRIPTION:
Alan Carey, Australian National University, Canberra, Australia, David Ellwood, Clay Mathematics Institute, Cambridge, MA, Sylvie Paycha, Universite Blaise Pascal, Aubiere, France, and Steven Rosenberg, Boston University, MA, Editors
This book is a very good contribution to the mathematical physics of pseudodifferential operator theory Eric B Torbrand Dhrif This book is a very good contribution to the mathematical physics of pseudodifferential operator theory. Most of us in mathematical physics discover and see the intuitive concept of a motive in the Atiyah-Singer theorem, anomalies, index theory and Chern-Weil theory. Quite obviously you sum differential forms of different de
There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. This volume contains articles related to the conference "Motives, Quantum Field Theory, and Pseudodifferntial Operators" held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the
About the Author Alan Carey, Australian National University, Canberra, Australia, David Ellwood, Clay Mathematics Institute, Cambridge, MA, Sylvie Paycha, Universite Blaise Pascal, Aubiere, France, and Steven Rosenberg, Boston University, MA, Editors