Difference between revisions of "NTS Fall 2012/Abstracts"

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(September 20: add title and Abstract for Simon's talk)
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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%" | '''Simon Marshall''' (Northwestern)
 
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| bgcolor="#BCD2EE"  align="center" | Title: Multiplicities of automorphic forms on GL<sub>2</sub>
 
| bgcolor="#BCD2EE"  align="center" | Title: Multiplicities of automorphic forms on GL<sub>2</sub>

Revision as of 11:15, 10 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

Simon Marshall (Northwestern)
Title: Multiplicities of automorphic forms on GL2

Abstract: I will discuss some ideas related to the theory of p-adically completed cohomology developed by Frank Calegari and Matthew Emerton. If F is a number field which is not totally real, I will use these ideas to prove a strong upper bound for the dimension of the space of cohomological automorphic forms on GL2 over F which have fixed level and growing weight.


September 27

Jordan Ellenberg (UW–Madison)
Title: tba

Abstract: tba




Organizer contact information

Robert Harron

Zev Klagsbrun

Sean Rostami


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