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Thursday 05 May 2022Algebra and Number Theory Seminar: On Ozaki's Theorem

Prof. Ravi Ramakrishna - Cornell University

Harrison 203 14:30-15:30

About 10 years ago Ozaki proved the following theorem: Given any finite p-group G, there exists a number field K such that the Galois group over K of the p-Hilbert class field tower is G. Ozaki’s K is totally complex. In joint work with Hajir and Maire we give a more general version of the theorem (e.g. K may be totally real) with a considerably simpler proof.

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