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Thursday, January 16, 2025 - 17:15 in V2-210/216


On Klein's Modular Function

A talk in the Mathematisches Kolloquium series by
Sebastian Herrero from USACH / Department of Mathematics of ETH Zürich in Switzerland

Abstract: Klein's modular function is an analytic function defined on the complex upper half-plane, which is invariant under the action of the modular group. However, this definition obscures many of the arithmetic properties that the function possesses, which are of great importance in number theory. In this colloquium talk, we will introduce this function and discuss some of its most important properties in relation to the theory of elliptic curves and class field theory, presenting both classical results and recent developments.

Within the CRC this talk is associated to the project(s): B1



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