CMI-IMSc Number Theory Seminar Date: Tuesday, 13 February 2024 Time: 12.00 - 1.00 PM Venue: Lecture Hall 803 Counting extensions of number fields Rajdeep Ghosh Chennai Mathematical Institute. 13-02-24 Abstract A natural question to ask, given a number field, is how many extensions it has of some prescribed quality, such as a prescribed Galois group. I will start with some general results and then move on to talking about counting quartic D_4 extensions of Q, based on Cohen, Diaz y Diaz and Olivier's paper.
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