Difference between revisions of "NTS Fall 2012/Abstracts"

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== September 6 ==
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== September 13 ==
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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 13 ==
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== September 27 ==
  
 
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Who?''' (Where?)
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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Jordan Ellenberg''' (UW–Madison)
 
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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

Robert Harron

Zev Klagsbrun

Sean Rostami


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