Difference between revisions of "NTS Fall 2012/Abstracts"
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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 20 == | ||
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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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| bgcolor="#BCD2EE" align="center" | Title: tba | | bgcolor="#BCD2EE" align="center" | Title: tba | ||
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== February 23 == | == February 23 == |
Revision as of 12:10, 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 |
Abstract: tba |
September 27
Jordan Ellenberg (UW–Madison) |
Title: tba |
Abstract: tba |
Organizer contact information
Sean Rostami
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