| Math 162a |
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| Topics in Number Theory | |
| Fall 2005-06 | |
TR 11:00 - 12:30 PM, 253b Sloan |
Instructor: Mladen Dimitrov, 276 Sloan, 395-4347, dimitrov@caltech.edu
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The main topic of this course is the Arithmetic of Picard Modular Surfaces. We will start by studying the analytic theory. Then arithmetic models and their compactifications will be introduced. We will assume known and recall only briefly the corresponding theory for Modular Curves. We expect the course to be suitable for graduate students in Number Theory and Algebraic Geometry. Some of the content of these lectures will be used in Prof. Ramakrishnan's 162b course. |
| Every lecture will contain unproved lemmas and/or exercises, which the students will be expected to solve; but no homework will be collected.
The final grade will depend on a short term paper at the end, whose subject each (registered) student should discuss with the Instructor ahead of time. |
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The main reference will be the book "The Zeta Function of Picard Modular Surfaces" edited by R.Langlands and D.Ramakrishnan, but we will use other sources as well. ISBN 2-921120-08-9 |
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