""Regularization techniques"" is the common name for a variety of methods used to make sense of divergent series, divergent integrals, or traces of linear operators in infinite-dimensional spaces. Such methods are often indispensable in problems of number theory, geometry, quant…
by Rubin, Karl, Popescu, Cristian, Silverberg, Alice
fromIAS/Park City mathematics series
by Rubin, Karl, Silverberg, Alice
fromIAS Park City mathematics series
by Rubin, Karl, Popescu, Cristian, Silverberg, Alice
fromIAS/Park City mathematics series
by Rubin, Karl, Popescu, Cristian, Silverberg, Alice
fromIAS/Park City mathematics series
The overall theme of the 2009 IAS/PCMI Graduate Summer School was connections between special values of L-functions and arithmetic, especially the Birch and Swinnerton-Dyer Conjecture and Stark's Conjecture. These conjectures are introduced and discussed in depth, and progress m…
by Rubin, Karl, Popescu, Cristian, Silverberg, Alice
fromIAS/Park City mathematics series
Galois module structure deals with the construction of algebraic invariants from a Galois extension of number fields with group G. Typically these invariants lie in the class-group of some group-ring of G or of a related order. These class-groups have "Hom-descriptions" in terms…
This is the first published graduate course on the Chinburg conjectures, and this book provides the necessary background in algebraic and analytic number theory, cohomology, representation theory, and Hom-descriptions. The computation of Hom-descriptions is facilitated by Snaith…
"This book discusses the p-adic modular forms, the eigencurve that parameterize them, and the p-adic L-functions one can associate to them. These theories and their generalizations to automorphic forms for group of higher ranks are of fundamental importance in number theory. For…
Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. From April 23-27, 2012 the conference Automorphic Forms and Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro was held at Yale University to assess the…
by Shahidi, Freydoon, Cogdell, James W., Soudry, David, Automorphic Forms and Related Geometry, Yale University), American mathematical society
fromContemporary mathematics - American Mathematical Society (P…
