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SPS organises a seminar by V. Kumar Murty
Event Details
Mathematics Seminar of the School of Physical Sciences
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Explicit Construction of some Abelian Extensions of Real Quadratic Fields
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Explicit Construction of some Abelian Extensions of Real Quadratic Fields
V. Kumar Murty
(University of Toronto, Toronto)
Date: February 20, 2018 (Tuesday)
Time: 15:30 hrs (3:30 pm)
Venue: Seminar Room , First Floor, School of Physical Sciences ( SPS ), JNU
Abstract: While the theory of complex multiplication allows us to essentially describe all abelian extensions of an imaginary quadratic field, the case of real quadratic fields is still a mystery. In this talk, we will explain a general approach to constructing some abelian extensions of a real quadratic field using modular forms. The method we describe is a generalization of a method of Shimura.