Number Theory

Title: Eisenstein Hecke algebras and pseudorepresentations
Speaker: Preston Wake
Speaker Info: University of Chicago
Brief Description:
Special Note:

The Iwasawa main conjecture (IMC) states that p-adic Dirichlet L-functions encode very important invariants of the class groups of cyclotomic fields. Motivated by a conjecture of Sharifi, we show that ring-theoretic properties of Eisenstein Hecke algebras encode even finer information about class groups than is provided by the IMC. In an ongoing joint work with Carl Wang Erickson, we show that these Eisenstein Hecke algebras are related to pseudodeformation rings.
Date: Monday, February 23, 2015
Time: 4:00PM
Where: Lunt 107
Contact Person: Patrick Allen
Contact email: pballen@math.northwestern.edu
Contact Phone:
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