Algebra Seminar, David Pollack (Wes): 'A lifting theorem and computations towards an eigencurve for SL_3.'

Friday, October 31, 2014
1:10 PM - 2:00 PM (ET)
ESC 618
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Academic Calendar
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David Pollack
Department
Math/CS Algebra Seminar
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=63308

Abstract: Fix a prime p. We generalize our early method of computing overconvergent lifts of ordinary $p$-adic homology classes for SL_3 to allow computations of lifts of non-ordinary, but numerically non-critical classes. Then we will discuss an ongoing calculation to find to any desired degree of accuracy the germ of the projection to weight space of the eigencurve Z around the point z corresponding to the system of Hecke eigenvalues of this over convergent lift. We do this under the conjecturally mild hypothesis that Z is smooth at z.

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