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New Geometric Techniques in Number TheoryMonth: July 2013 Date: July 1--12 Name: New Geometric Techniques in Number Theory Location: Mathematical Sciences Research Institute, Berkeley, California. DescriptionThe branches of number theory most directly related to automorphic forms have seen enormous progress over the past five years. Techniques introduced since 2008 have made it possible to prove many new arithmetic applications. The purpose of the current workshop is to draw the attention of young students or researchers to new questions that have arisen in the course of bringing several chapters in the Langlands program and related algebraic number theory to a close. We will focus especially on some precise questions of a geometric nature, or whose solutions seem to require new geometric insights. A graduate level in number theory is expected. This two-week workshop will be devoted to the following subjects: Automorphy lifting theorems, p-adic local Langlands program, characters of categorical representations and Hasse-Weil zeta function. Information
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