Thursday 05 May 2022: Algebra 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.