NTS Fall 2012/Abstracts: Difference between revisions
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Nigel Boston''' (UW–Madison) | |||
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| bgcolor="#BCD2EE" align="center" | Title: Non-abelian Cohen–Lenstra heuristics | |||
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Abstract: In 1983, Cohen and Lenstra observed that the frequency with which a given abelian ''p''-group ''A'' (''p'' odd) arises as the ''p''-class group of an imaginary quadratic field ''K'' is apparently proportional to 1/|Aut(''A'')|. The group ''A'' is isomorphic to the Galois group of the maximal unramified abelian ''p''-extension of ''K''. In work with Michael Bush and Farshid Hajir, I generalized this to non-abelian unramified ''p''-extensions of imaginary quadratic fields. I shall recall all the above and describe a further generalization to non-abelian unramified ''p''-extensions of ''H''-extensions of '''Q''', for any ''p'', ''H'', where ''p'' does not divide the order of ''H''. | |||
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== September | == September 27 == | ||
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | ''' | | bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jordan Ellenberg''' (UW–Madison) | ||
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Revision as of 17:10, 6 September 2012
September 13
| Nigel Boston (UW–Madison) |
| Title: Non-abelian Cohen–Lenstra heuristics |
|
Abstract: In 1983, Cohen and Lenstra observed that the frequency with which a given abelian p-group A (p odd) arises as the p-class group of an imaginary quadratic field K is apparently proportional to 1/|Aut(A)|. The group A is isomorphic to the Galois group of the maximal unramified abelian p-extension of K. In work with Michael Bush and Farshid Hajir, I generalized this to non-abelian unramified p-extensions of imaginary quadratic fields. I shall recall all the above and describe a further generalization to non-abelian unramified p-extensions of H-extensions of Q, for any p, H, where p does not divide the order of H. |
September 20
| Who? (Where?) |
| Title: tba |
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Abstract: tba |
September 27
| Jordan Ellenberg (UW–Madison) |
| Title: tba |
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Abstract: tba |
Organizer contact information
Sean Rostami
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