Centre for Modeling & Simulation
Savitribai Phule Pune University

Colloquium | The Local Global Principle in Number Theory


Title The Local Global Principle in Number Theory
Speaker Vijay Patankar, School of Physical Sciences, Jawaharlal Nehru University

Prof. Vijay Patankar is a mathematician with interests in number theory, Galois representations, Abelian varieties, certain aspects of algebraic complexity theory, and elliptic curve cryptography. He is an associate professor at the School of Physical Sciences, Jawaharlal Nehru University, New Delhi, India.
Date & Time Wednesday, 27 May 2015 | 11:00-12:00
Venue Seminar Room
Centre for Modeling and Simulation, Savitribai Phule Pune University
Abstract A lot of definitions in mathematics are local. Examples include continuity of a function at a point, curvature of Riemannian manifold (at a point), etc. One then has various theorems that relate "local" behaviour of a given object to its global behaviour. Gauss-Bonnet Theorem in differential geometry is one such example.

In this introductory and expository talk, we will walk through a few such examples. After the initial motivation, we will focus on a couple of examples to illustrate the local global principle in number theory.
Organizer/Host Centre for Modeling and Simulation, Savitribai Phule Pune University




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