IPM Calendar 
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Events for day: Tuesday 14 June 2022    
           14:00 - 15:00     Weekly Seminar
HEPCo Group
Quantum designs and Mutually Unbiased Measurements


Date and time

Tuesday, 14th of June 2022 (24th of Khordad, 1401), 2:00 pm (Tehran zone)


Meeting ID: 835 3812 6663
Passcode: 785277

Two orthonormal bases of a Hilbert space are said to be mutually unbiased bases (MUB) if the transition probabilities from each state of the first basis to each state of the second basis are the same, irrespective of which pair of states is chosen. A complete set of MUBs is an example of a rich combinatorial ...

           16:30 - 18:00     Number Theory Webinar
On BRZ Exact Sequence for Finite Galois Extensions of Number Fields


In this talk, I will shortly explain how to use some cohomological results of Brumer-Rosen and Zantema to obtain a four-term exact sequence, called ``BRZ'' standing for these authors, which reveals some information about strongly ambiguous ideal classes (coinciding with relative Polya group) of a finite Galois extension of number fields. As an application of the BRZ, I will reprove some well known results in the literature. Then, as a minor modification on relative Polya group for a finite extension of number fields, I will introduce the notion of ``relative Ostrowski quotient'' and give some new approaches of the BRZ exact sequence. The m ...