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Back to Departmental Colloquium: Spring 2021

Departmental Colloquium


Date: Tuesday, Mar 16, 2021

Time: 4:00PM

Location: JWB 335


Ila Varma

University of Toronto

Title

Number field asymptotics and Malle's Conjecture

Abstract

Malle’s conjecture can be thought of as a generalization of the inverse Galois problem, which asks for every finite group G, is there a number field K such that their Galois group over Q is isomorphic to G? Although open, this question is widely believed to be true, and Malle went further to predict the asymptotics of how many number fields there are with a given Galois group that only depended on the group structure of G and the degree of the number field. In this talk, we will discuss the history as well as recent results and techniques surrounding these conjectures.

Mathematical Biology Computational Mathematics

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